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 rectangular room is 12 meters long and 9 meters wide. What is the area of the room in square meters?
  • A. 108
  • B. 100
  • C. 120
  • D. 110
Q. A rectangular room is 8 meters long and 6 meters wide. What is the area of the room in square meters?
  • A. 40
  • B. 48
  • C. 50
  • D. 60
Q. A rectangular swimming pool is 20 meters long and 10 meters wide. What is the area of the pool in square meters?
  • A. 150
  • B. 200
  • C. 250
  • D. 300
Q. A rectangular swimming pool is 25 meters long and 10 meters wide. What is the area of the pool?
  • A. 250
  • B. 200
  • C. 300
  • D. 150
Q. A rectangular swimming pool is 25 meters long and 10 meters wide. What is the area of the pool in square meters?
  • A. 250
  • B. 200
  • C. 300
  • D. 150
Q. A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
  • A. 120 cm²
  • B. 140 cm²
  • C. 160 cm²
  • D. 180 cm²
Q. A square has a perimeter of 40 cm. What is its area?
  • A. 100 cm²
  • B. 200 cm²
  • C. 160 cm²
  • D. 80 cm²
Q. A square has a perimeter of 40 m. What is its area?
  • A. 100 m²
  • B. 200 m²
  • C. 160 m²
  • D. 80 m²
Q. A square has a perimeter of 40 meters. What is the area of the square in square meters?
  • A. 100
  • B. 160
  • C. 200
  • D. 250
Q. A square has a side length of 8 meters. What is the area of the square in square meters?
  • A. 64
  • B. 72
  • C. 80
  • D. 88
Q. A square plot has a side length of 10 meters. What is the area of the plot?
  • A. 100
  • B. 80
  • C. 90
  • D. 70
Q. A square plot has a side length of 12 meters. What is the area of the plot in square meters?
  • A. 120
  • B. 144
  • C. 150
  • D. 160
Q. A trapezoid has bases of 10 m and 6 m, and a height of 4 m. What is its area?
  • A. 32 m²
  • B. 36 m²
  • C. 40 m²
  • D. 44 m²
Q. A trapezoid has bases of 10 meters and 20 meters, and a height of 5 meters. What is the area of the trapezoid in square meters?
  • A. 75
  • B. 80
  • C. 85
  • D. 90
Q. A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What is the area of the trapezoid in square meters?
  • A. 32
  • B. 36
  • C. 40
  • D. 44
Q. A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What is the area of the trapezoid?
  • A. 32
  • B. 36
  • C. 40
  • D. 44
Q. A trapezoid has bases of 8 meters and 5 meters, and a height of 4 meters. What is the area of the trapezoid in square meters?
  • A. 26
  • B. 30
  • C. 32
  • D. 36
Q. A trapezoidal garden has bases of 8 meters and 12 meters, and a height of 5 meters. What is the area of the garden in square meters?
  • A. 50
  • B. 60
  • C. 70
  • D. 80
Q. A triangle has a base of 10 m and a height of 6 m. What is its area?
  • A. 30 m²
  • B. 40 m²
  • C. 50 m²
  • D. 60 m²
Q. A triangle has a base of 10 meters and a height of 5 meters. What is its area in square meters?
  • A. 20
  • B. 25
  • C. 30
  • D. 35
Q. A triangle has a base of 10 meters and a height of 5 meters. What is the area of the triangle in square meters?
  • A. 25
  • B. 30
  • C. 35
  • D. 40
Q. A triangle has a base of 8 m and a height of 5 m. What is its area?
  • A. 20 m²
  • B. 30 m²
  • C. 40 m²
  • D. 10 m²
Q. A triangle has an area of 36 square meters and a base of 9 meters. What is the height of the triangle in meters?
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. A triangle has an area of 36 square meters and a height of 6 meters. What is the base of the triangle in meters?
  • A. 10
  • B. 12
  • C. 8
  • D. 6
Q. Calculate the area of a circle with a radius of 7 cm (use π = 22/7).
  • A. 154 cm²
  • B. 44 cm²
  • C. 77 cm²
  • D. 88 cm²
Q. Calculate the area of a circle with a radius of 7 cm (use π ≈ 3.14).
  • A. 38.48 cm²
  • B. 43.96 cm²
  • C. 153.86 cm²
  • D. 154 cm²
Q. Calculate the area of a rectangle with a length of 15 m and a width of 10 m.
  • A. 150 m²
  • B. 140 m²
  • C. 160 m²
  • D. 130 m²
Q. Calculate the area of a sector with a radius of 5 cm and a central angle of 60 degrees.
  • A. 13.09 cm²
  • B. 15.71 cm²
  • C. 20.93 cm²
  • D. 25.00 cm²
Q. Find the area of a parallelogram with a base of 12 cm and a height of 5 cm.
  • A. 50 cm²
  • B. 60 cm²
  • C. 70 cm²
  • D. 80 cm²
Q. Find the area of a rectangle with a length of 15 m and a width of 10 m.
  • A. 100 m²
  • B. 120 m²
  • C. 150 m²
  • D. 160 m²
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