Q. A circle has a radius of 7 cm. What is the area of the circle?
A.
154 cm²
B.
144 cm²
C.
160 cm²
D.
150 cm²
Show solution
Solution
Area of a circle = πr². Using π ≈ 3.14, Area = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², which rounds to 154 cm².
Correct Answer:
A
— 154 cm²
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Q. A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 22/7)
A.
154 cm²
B.
144 cm²
C.
160 cm²
D.
150 cm²
Show solution
Solution
Area of a circle = πr² = (22/7) × (7)² = (22/7) × 49 = 154 cm².
Correct Answer:
A
— 154 cm²
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Q. A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 3.14)
A.
154 cm²
B.
144 cm²
C.
160 cm²
D.
150 cm²
Show solution
Solution
Area = πr² = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², which rounds to 154 cm².
Correct Answer:
A
— 154 cm²
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Q. A circular garden has a diameter of 10 m. What is the area of the garden? (Use π = 3.14)
A.
78.5 m²
B.
31.4 m²
C.
50 m²
D.
100 m²
Show solution
Solution
Radius = diameter/2 = 5 m. Area = πr² = 3.14 × 5² = 78.5 m².
Correct Answer:
A
— 78.5 m²
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Q. A parallelogram has a base of 8 m and a height of 5 m. What is its area?
A.
40 m²
B.
30 m²
C.
50 m²
D.
20 m²
Show solution
Solution
Area = base × height = 8 × 5 = 40 m².
Correct Answer:
A
— 40 m²
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Q. A rectangle has a length of 12 m and a width of 5 m. What is the perimeter of the rectangle?
A.
34 m
B.
30 m
C.
40 m
D.
24 m
Show solution
Solution
Perimeter = 2 × (length + width) = 2 × (12 + 5) = 2 × 17 = 34 m.
Correct Answer:
A
— 34 m
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Q. A rectangle has a length that is twice its width. If the area of the rectangle is 200 square units, what is the width of the rectangle?
A.
10 units
B.
20 units
C.
15 units
D.
25 units
Show solution
Solution
Let the width be x units. Then the length is 2x units. Area = length × width = 2x * x = 2x^2. Setting this equal to 200 gives 2x^2 = 200, so x^2 = 100, and x = 10 units.
Correct Answer:
A
— 10 units
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Q. A rectangle has a length that is twice its width. If the area of the rectangle is 200 square meters, what is the width of the rectangle?
A.
10 meters
B.
20 meters
C.
25 meters
D.
15 meters
Show solution
Solution
Let the width be x meters. Then the length is 2x meters. Area = length × width = 2x * x = 2x^2. Setting this equal to 200 gives 2x^2 = 200, so x^2 = 100, and x = 10 meters.
Correct Answer:
B
— 20 meters
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Q. A rectangle has an area of 48 cm² and a length of 12 cm. What is the width?
A.
4 cm
B.
6 cm
C.
8 cm
D.
10 cm
Show solution
Solution
Area = length × width. 48 = 12 × width, so width = 48/12 = 4 cm.
Correct Answer:
B
— 6 cm
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Q. A rectangle has an area of 48 square meters and a length of 12 meters. What is the width?
A.
4 meters
B.
6 meters
C.
8 meters
D.
10 meters
Show solution
Solution
Area = length × width. Thus, 48 = 12 × width, giving width = 48/12 = 4 meters.
Correct Answer:
B
— 6 meters
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Q. A rectangle has an area of 60 square meters and a length of 12 meters. What is the width?
A.
5 meters
B.
6 meters
C.
7 meters
D.
8 meters
Show solution
Solution
Area = length × width. Thus, 60 = 12 × width, giving width = 60/12 = 5 meters.
Correct Answer:
B
— 6 meters
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Q. A rectangle's length is 3 times its width. If the area is 75 square meters, what is the length?
A.
15 meters
B.
25 meters
C.
30 meters
D.
20 meters
Show solution
Solution
Let width = x, then length = 3x. Area = length × width = 3x * x = 3x² = 75. Thus, x² = 25, x = 5, and length = 15 meters.
Correct Answer:
A
— 15 meters
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Q. A rectangle's length is three times its width. If the perimeter is 64 cm, what is the area of the rectangle?
A.
192 cm²
B.
128 cm²
C.
96 cm²
D.
64 cm²
Show solution
Solution
Let width = x, then length = 3x. Perimeter = 2(length + width) = 2(3x + x) = 8x = 64, so x = 8 cm. Area = length × width = 3x * x = 3(8)(8) = 192 cm².
Correct Answer:
B
— 128 cm²
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Q. A rectangular field is 50 meters long and 30 meters wide. If a fence is built around it, what is the total length of the fence?
A.
160 m
B.
140 m
C.
120 m
D.
180 m
Show solution
Solution
Perimeter = 2(length + width) = 2(50 + 30) = 2 × 80 = 160 m.
Correct Answer:
A
— 160 m
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Q. A rectangular garden has a length of 12 m and a width of 5 m. If a path of width 1 m is built around it, what is the area of the path?
A.
50 m²
B.
60 m²
C.
70 m²
D.
80 m²
Show solution
Solution
Area of the garden = 12 × 5 = 60 m². Area of the garden with the path = (12 + 2) × (5 + 2) = 14 × 7 = 98 m². Area of the path = 98 - 60 = 38 m².
Correct Answer:
B
— 60 m²
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Q. A rectangular garden has a length of 30 meters and a width of 20 meters. What is the area of the garden?
A.
600 m²
B.
500 m²
C.
400 m²
D.
300 m²
Show solution
Solution
Area = length × width = 30 × 20 = 600 m².
Correct Answer:
A
— 600 m²
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Q. A rectangular garden is 30 meters long and 20 meters wide. If a path of 1 meter width is built around it, what is the area of the path?
A.
80 m²
B.
100 m²
C.
120 m²
D.
140 m²
Show solution
Solution
Area of the garden = 30 × 20 = 600 m². Area including the path = (30 + 2) × (20 + 2) = 32 × 22 = 704 m². Area of the path = 704 - 600 = 104 m².
Correct Answer:
B
— 100 m²
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Q. A rectangular plot has a length of 50 meters and a width of 30 meters. If a path of 2 meters width is built around it, what is the area of the path?
A.
320 m²
B.
400 m²
C.
600 m²
D.
800 m²
Show solution
Solution
Total area with path = (50 + 4) × (30 + 4) = 54 × 34 = 1836 m². Area of the plot = 50 × 30 = 1500 m². Area of the path = 1836 - 1500 = 336 m².
Correct Answer:
B
— 400 m²
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Q. A rhombus has diagonals of lengths 12 cm and 16 cm. What is the area of the rhombus?
A.
96 cm²
B.
48 cm²
C.
72 cm²
D.
60 cm²
Show solution
Solution
Area of a rhombus = (1/2) × d1 × d2. Thus, Area = (1/2) × 12 × 16 = 96 cm².
Correct Answer:
A
— 96 cm²
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Q. A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
A.
76.96 cm²
B.
48.96 cm²
C.
38.48 cm²
D.
28.96 cm²
Show solution
Solution
Area of a semicircle = (1/2) × πr². Radius = 7 cm. Area = (1/2) × 3.14 × (7)² = 76.96 cm².
Correct Answer:
A
— 76.96 cm²
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Q. A semicircle has a diameter of 14 cm. What is the area of the semicircle?
A.
49 cm²
B.
77 cm²
C.
154 cm²
D.
100 cm²
Show solution
Solution
Area of a semicircle = (1/2) × πr². Radius = 7 cm. Area = (1/2) × 3.14 × (7)² = (1/2) × 3.14 × 49 = 76.96 cm², which rounds to 77 cm².
Correct Answer:
B
— 77 cm²
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Q. A semicircle has a diameter of 14 cm. What is the area of the semicircle? (Use π ≈ 22/7)
A.
77 cm²
B.
49 cm²
C.
154 cm²
D.
88 cm²
Show solution
Solution
Radius = 7 cm. Area of semicircle = (1/2) × πr² = (1/2) × (22/7) × (7)² = 77 cm².
Correct Answer:
A
— 77 cm²
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Q. A semicircle has a diameter of 14 cm. What is the area of the semicircle? (Use π ≈ 3.14)
A.
76.96 cm²
B.
48.96 cm²
C.
38.48 cm²
D.
24.48 cm²
Show solution
Solution
Area of a semicircle = (1/2) × πr². Radius = 7 cm. Area = (1/2) × 3.14 × (7)² = 76.96 cm².
Correct Answer:
A
— 76.96 cm²
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Q. A square has a perimeter of 40 cm. What is the area of the square?
A.
100 cm²
B.
200 cm²
C.
150 cm²
D.
250 cm²
Show solution
Solution
Perimeter of a square = 4 × side. Thus, 40 = 4 × side, giving side = 10 cm. Area = side² = 10² = 100 cm².
Correct Answer:
A
— 100 cm²
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Q. A square has a perimeter of 48 cm. What is the area of the square?
A.
144 cm²
B.
64 cm²
C.
36 cm²
D.
100 cm²
Show solution
Solution
Perimeter of a square = 4 × side. Thus, 48 = 4 × side, giving side = 12 cm. Area = side² = 12² = 144 cm².
Correct Answer:
A
— 144 cm²
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Q. A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is the area of the trapezium?
A.
32 cm²
B.
40 cm²
C.
36 cm²
D.
28 cm²
Show solution
Solution
Area of a trapezium = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 cm².
Correct Answer:
A
— 32 cm²
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Q. A triangle has a base of 12 cm and a height of 5 cm. What is the area of the triangle?
A.
30 cm²
B.
60 cm²
C.
24 cm²
D.
12 cm²
Show solution
Solution
Area = (1/2) × base × height = (1/2) × 12 × 5 = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. What is the area of the triangle?
A.
24 cm²
B.
30 cm²
C.
36 cm²
D.
20 cm²
Show solution
Solution
Using Heron's formula, s = (6 + 8 + 10)/2 = 12. Area = √[s(s-a)(s-b)(s-c)] = √[12(12-6)(12-8)(12-10)] = √[12 × 6 × 4 × 2] = 24 cm².
Correct Answer:
A
— 24 cm²
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Q. If the area of a circle is 154 square units, what is the radius of the circle? (Use π = 22/7)
A.
7 units
B.
14 units
C.
11 units
D.
21 units
Show solution
Solution
Area = πr². 154 = (22/7)r². Solving gives r² = 154 * 7 / 22 = 49, so r = 7 units.
Correct Answer:
A
— 7 units
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Q. If the area of a parallelogram is 120 square meters and the base is 15 meters, what is the height?
A.
8 meters
B.
10 meters
C.
12 meters
D.
15 meters
Show solution
Solution
Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 meters.
Correct Answer:
B
— 10 meters
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