Area MCQ & Objective Questions
The concept of "Area" is a fundamental topic in mathematics that plays a crucial role in various school and competitive exams. Understanding area not only helps in solving practical problems but also enhances your analytical skills. Practicing MCQs and objective questions on area is essential for reinforcing your knowledge and improving your exam scores. With the right practice questions, you can tackle important questions confidently and excel in your exam preparation.
What You Will Practise Here
Understanding the concept of area and its significance
Calculating the area of basic geometric shapes like squares, rectangles, and triangles
Exploring the area of complex shapes, including circles and polygons
Applying formulas for area calculations in real-life scenarios
Learning about the relationship between area and perimeter
Solving problems involving composite figures
Interpreting diagrams and visual representations of area
Exam Relevance
The topic of area is frequently tested in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to calculate the area of different shapes, apply formulas, and solve word problems. Common question patterns include direct calculations, multiple-choice questions, and application-based scenarios that assess a student's understanding of the concept in practical contexts.
Common Mistakes Students Make
Confusing the formulas for area and perimeter
Overlooking units of measurement when calculating area
Misinterpreting the dimensions of composite shapes
Failing to apply the correct formula for irregular shapes
Neglecting to double-check calculations, leading to simple arithmetic errors
FAQs
Question: What is the formula for the area of a triangle?Answer: The area of a triangle is calculated using the formula: Area = 1/2 × base × height.
Question: How do I find the area of a circle?Answer: The area of a circle can be found using the formula: Area = π × radius².
Question: Why is it important to understand area for competitive exams?Answer: Understanding area is crucial as it forms the basis for many real-world applications and is a common topic in various competitive exams.
Now is the time to enhance your understanding of area! Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams. Remember, consistent practice is key to success!
Q. A circular field has a diameter of 14 meters. What is the area of the field in square meters? (Use π = 3.14)
A.
153.86
B.
154
C.
156
D.
158
Show solution
Solution
Radius = diameter/2 = 14/2 = 7 meters. Area = π × radius² = 3.14 × 7² = 3.14 × 49 = 153.86 square meters.
Correct Answer:
A
— 153.86
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Q. A circular garden has a diameter of 10 m. What is its area? (Use π = 3.14)
A.
78.5 m²
B.
31.4 m²
C.
50 m²
D.
100 m²
Show solution
Solution
Radius = diameter/2 = 10 m/2 = 5 m. Area = πr² = 3.14 × (5 m)² = 78.5 m².
Correct Answer:
A
— 78.5 m²
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Q. A circular garden has a diameter of 14 m. What is its area (use π ≈ 3.14)?
A.
153.86 m²
B.
154 m²
C.
150 m²
D.
160 m²
Show solution
Solution
Radius = diameter/2 = 14 m/2 = 7 m. Area = π × radius² = 3.14 × (7 m)² = 153.86 m².
Correct Answer:
A
— 153.86 m²
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Q. A circular garden has a radius of 7 meters. What is the area of the garden in square meters? (Use π = 22/7)
A.
154
B.
144
C.
138
D.
160
Show solution
Solution
Area = π × radius² = (22/7) × 7² = (22/7) × 49 = 154 square meters.
Correct Answer:
A
— 154
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Q. A circular park has a diameter of 14 meters. What is the area of the park in square meters? (Use π = 3.14)
A.
153.86
B.
154
C.
156
D.
158
Show solution
Solution
Radius = diameter/2 = 14/2 = 7 meters. Area = πr² = 3.14 × 7² = 3.14 × 49 = 153.86 square meters.
Correct Answer:
A
— 153.86
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Q. A circular park has a radius of 7 meters. What is the area of the park in square meters? (Use π = 22/7)
A.
154
B.
144
C.
160
D.
150
Show solution
Solution
Area = πr² = (22/7) × 7² = (22/7) × 49 = 154 square meters.
Correct Answer:
A
— 154
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Q. A circular park has a radius of 7 meters. What is the area of the park? (Use π = 22/7)
A.
154
B.
144
C.
164
D.
174
Show solution
Solution
Area = π × radius² = (22/7) × 7² = (22/7) × 49 = 154 square meters.
Correct Answer:
A
— 154
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Q. A circular swimming pool has a diameter of 10 meters. What is the area of the pool in square meters? (Use π = 3.14)
A.
78.5
B.
100
C.
50
D.
60
Show solution
Solution
Radius = diameter / 2 = 10 / 2 = 5 meters. Area = π × radius² = 3.14 × 5² = 3.14 × 25 = 78.5 square meters.
Correct Answer:
A
— 78.5
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Q. A circular swimming pool has a diameter of 14 meters. What is the area of the pool? (Use π = 3.14)
A.
153.86
B.
154
C.
150
D.
160
Show solution
Solution
Radius = diameter / 2 = 14 / 2 = 7 meters; Area = π × radius² = 3.14 × 7² = 3.14 × 49 = 153.86 square meters.
Correct Answer:
A
— 153.86
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Q. A farmer has a field in the shape of a parallelogram with a base of 15 meters and a height of 10 meters. What is the area of the field?
A.
150
B.
120
C.
100
D.
130
Show solution
Solution
Area = base × height = 15 × 10 = 150 square meters.
Correct Answer:
A
— 150
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Q. A farmer wants to increase the area of his field by 25%. If the current area is 2000 square meters, what will be the new area?
A.
2500
B.
2400
C.
2600
D.
2300
Show solution
Solution
New area = Current area + (25% of Current area) = 2000 + (0.25 × 2000) = 2000 + 500 = 2500 square meters.
Correct Answer:
A
— 2500
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Q. A field in the shape of a right triangle has legs of 9 meters and 12 meters. What is the area of the field in square meters?
Show solution
Solution
Area = (1/2) × leg1 × leg2 = (1/2) × 9 × 12 = 54 square meters.
Correct Answer:
A
— 54
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Q. A parallelogram has a base of 12 cm and a height of 5 cm. What is its area?
A.
60 cm²
B.
50 cm²
C.
70 cm²
D.
40 cm²
Show solution
Solution
Area = base × height = 12 cm × 5 cm = 60 cm².
Correct Answer:
A
— 60 cm²
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Q. A parallelogram has a base of 12 meters and a height of 10 meters. What is the area of the parallelogram?
A.
120
B.
130
C.
140
D.
150
Show solution
Solution
Area = base × height = 12 × 10 = 120 square meters.
Correct Answer:
A
— 120
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Q. A parallelogram has a base of 15 meters and a height of 10 meters. What is the area of the parallelogram in square meters?
A.
100
B.
120
C.
150
D.
180
Show solution
Solution
Area = base × height = 15 × 10 = 150 square meters.
Correct Answer:
C
— 150
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Q. A parallelogram has a base of 15 meters and a height of 6 meters. What is the area of the parallelogram in square meters?
A.
80
B.
90
C.
100
D.
110
Show solution
Solution
Area = base × height = 15 × 6 = 90 square meters.
Correct Answer:
B
— 90
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Q. A parallelogram has a base of 15 meters and an area of 90 square meters. What is the height of the parallelogram in meters?
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Solution
Area = base × height; 90 = 15 × height; height = 90 / 15 = 6 meters.
Correct Answer:
B
— 5
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Q. A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?
A.
6 cm
B.
8 cm
C.
4 cm
D.
10 cm
Show solution
Solution
Area = length × width. Therefore, width = Area/length = 72 cm²/12 cm = 6 cm.
Correct Answer:
B
— 8 cm
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Q. A rectangle has an area of 72 m² and a length of 12 m. What is its width?
A.
6 m
B.
8 m
C.
4 m
D.
10 m
Show solution
Solution
Area = length × width; width = Area / length = 72 m² / 12 m = 6 m.
Correct Answer:
B
— 8 m
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Q. A rectangular field has a length of 50 meters and a width of 30 meters. What is the area of the field in square meters?
A.
1500
B.
1800
C.
2000
D.
2500
Show solution
Solution
Area = length × width = 50 × 30 = 1500 square meters.
Correct Answer:
A
— 1500
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Q. A rectangular field is 50 meters long and 30 meters wide. What is the percentage increase in area if the length is increased by 20%?
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Solution
Original area = 50 × 30 = 1500 sq. meters; New length = 50 × 1.2 = 60 meters; New area = 60 × 30 = 1800 sq. meters; Percentage increase = ((1800 - 1500) / 1500) × 100 = 20%.
Correct Answer:
A
— 20
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Q. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden in square meters?
A.
300
B.
250
C.
400
D.
350
Show solution
Solution
Area = length × width = 20 × 15 = 300 square meters.
Correct Answer:
A
— 300
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Q. A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?
A.
80 m²
B.
100 m²
C.
60 m²
D.
120 m²
Show solution
Solution
Total area with path = (15+2) × (10+2) = 17 × 12 = 204 m². Area of garden = 15 × 10 = 150 m². Area of path = 204 - 150 = 54 m².
Correct Answer:
A
— 80 m²
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Q. A rectangular garden is 15 meters long and 10 meters wide. What is the area of the garden in square meters?
A.
100
B.
120
C.
150
D.
200
Show solution
Solution
Area = length × width = 15 × 10 = 150 square meters.
Correct Answer:
B
— 120
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Q. A rectangular garden is 25 meters long and 15 meters wide. What is the area of the garden in square meters?
A.
350
B.
375
C.
400
D.
425
Show solution
Solution
Area = length × width = 25 × 15 = 375 square meters.
Correct Answer:
B
— 375
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Q. A rectangular plot has a length that is twice its width. If the width is 12 meters, what is the area of the plot in square meters?
A.
144
B.
192
C.
216
D.
240
Show solution
Solution
Width = 12 meters, Length = 2 × 12 = 24 meters. Area = length × width = 24 × 12 = 288 square meters.
Correct Answer:
B
— 192
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Q. A rectangular plot has an area of 1200 square meters and a length of 40 meters. What is the width of the plot?
Show solution
Solution
Area = length × width, so width = Area / length = 1200 / 40 = 30 meters.
Correct Answer:
B
— 30
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Q. A rectangular plot has an area of 180 square meters and a length of 15 meters. What is the width of the plot?
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Solution
Width = Area / length = 180 / 15 = 12 meters.
Correct Answer:
A
— 12
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Q. A rectangular plot has an area of 240 square meters and a length of 20 meters. What is the width of the plot in meters?
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Solution
Area = length × width; 240 = 20 × width; width = 240 / 20 = 12 meters.
Correct Answer:
B
— 12
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Q. A rectangular plot has an area of 2400 square meters and a length of 60 meters. What is the width of the plot in meters?
Show solution
Solution
Area = length × width; 2400 = 60 × width; width = 2400 / 60 = 40 meters.
Correct Answer:
A
— 30
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