Area
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
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
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
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
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
Solution
Area = base × height = 12 cm × 5 cm = 60 cm².
Correct Answer: A — 60 cm²
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
Solution
Area = length × width. Therefore, width = Area/length = 72 cm²/12 cm = 6 cm.
Correct Answer: B — 8 cm
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
Solution
Area = length × width; width = Area / length = 72 m² / 12 m = 6 m.
Correct Answer: B — 8 m
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
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
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
Solution
Area = (d1 × d2)/2 = (10 cm × 24 cm)/2 = 120 cm².
Correct Answer: A — 120 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
Solution
Perimeter = 4 × side; side = 40 cm / 4 = 10 cm. Area = side² = 10 cm × 10 cm = 100 cm².
Correct Answer: A — 100 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
Solution
Side = perimeter/4 = 40 m/4 = 10 m. Area = side² = (10 m)² = 100 m².
Correct Answer: A — 100 m²
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
Solution
Area = 1/2 × (base1 + base2) × height = 1/2 × (10 m + 6 m) × 4 m = 32 m².
Correct Answer: A — 32 m²
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
Solution
Area = 1/2 × base × height = 1/2 × 10 m × 6 m = 30 m².
Correct Answer: A — 30 m²
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
Solution
Area = 1/2 × base × height = 1/2 × 8 m × 5 m = 20 m².
Correct Answer: A — 20 m²
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
Solution
Area = πr² = (22/7) × (7 cm)² = 154 cm².
Correct Answer: A — 154 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
Solution
Area = π × radius² = 3.14 × (7 cm)² = 3.14 × 49 cm² = 153.86 cm².
Correct Answer: C — 153.86 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
Solution
Area = length × width = 15 m × 10 m = 150 m².
Correct Answer: A — 150 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
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².
Correct Answer: A — 13.09 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
Solution
Area = base × height = 12 cm × 5 cm = 60 cm².
Correct Answer: B — 60 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
Solution
Area = length × width = 15 m × 10 m = 150 m².
Correct Answer: C — 150 m²
Q. If the length of a rectangle is doubled and the width is halved, how does the area change?
-
A.
Remains the same
-
B.
Doubles
-
C.
Halves
-
D.
Quadruples
Solution
New area = (2 × length) × (width/2) = length × width = original area. Area doubles.
Correct Answer: B — Doubles
Q. If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)
-
A.
154 cm²
-
B.
44 cm²
-
C.
77 cm²
-
D.
88 cm²
Solution
Area = π × radius² = (22/7) × (7 cm)² = 154 cm².
Correct Answer: A — 154 cm²
Q. What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)
-
A.
78.5 cm²
-
B.
31.4 cm²
-
C.
50 cm²
-
D.
100 cm²
Solution
Radius = diameter/2 = 10 cm/2 = 5 cm. Area = π × radius² = 3.14 × (5 cm)² = 78.5 cm².
Correct Answer: A — 78.5 cm²
Q. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
-
A.
50 cm²
-
B.
40 cm²
-
C.
30 cm²
-
D.
60 cm²
Solution
Area = length × width = 10 cm × 5 cm = 50 cm².
Correct Answer: A — 50 cm²
Q. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
-
A.
30 cm²
-
B.
40 cm²
-
C.
50 cm²
-
D.
60 cm²
Solution
Area = length × width = 8 cm × 5 cm = 40 cm².
Correct Answer: B — 40 cm²
Q. What is the area of a rectangle with length 10 cm and width 5 cm?
-
A.
50 cm²
-
B.
15 cm²
-
C.
25 cm²
-
D.
30 cm²
Solution
Area = length × width = 10 cm × 5 cm = 50 cm².
Correct Answer: A — 50 cm²
Q. What is the area of a regular hexagon with a side length of 3 m?
-
A.
15.59 m²
-
B.
18.00 m²
-
C.
23.38 m²
-
D.
27.00 m²
Solution
Area = (3√3/2) × side² = (3√3/2) × (3 m)² ≈ 15.59 m².
Correct Answer: A — 15.59 m²
Q. What is the area of a rhombus with diagonals of 10 cm and 6 cm?
-
A.
30 cm²
-
B.
40 cm²
-
C.
20 cm²
-
D.
50 cm²
Solution
Area = 1/2 × diagonal1 × diagonal2 = 1/2 × 10 cm × 6 cm = 30 cm².
Correct Answer: A — 30 cm²
Q. What is the area of a rhombus with diagonals of 10 cm and 8 cm?
-
A.
40 cm²
-
B.
45 cm²
-
C.
50 cm²
-
D.
55 cm²
Solution
Area = 1/2 × d1 × d2 = 1/2 × 10 cm × 8 cm = 40 cm².
Correct Answer: A — 40 cm²
Q. What is the area of a rhombus with diagonals of lengths 10 cm and 24 cm?
-
A.
120 cm²
-
B.
60 cm²
-
C.
80 cm²
-
D.
100 cm²
Solution
Area = (d1 × d2) / 2 = (10 cm × 24 cm) / 2 = 120 cm².
Correct Answer: A — 120 cm²
Q. What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?
-
A.
17.45 cm²
-
B.
20.93 cm²
-
C.
15.71 cm²
-
D.
25.13 cm²
Solution
Area = (θ/360) × π × radius² = (60/360) × 3.14 × (10 cm)² = 17.45 cm².
Correct Answer: A — 17.45 cm²
Q. What is the area of a sector of a circle with a radius of 10 cm and an angle of 60 degrees? (Use π = 3.14)
-
A.
17.5 cm²
-
B.
15.7 cm²
-
C.
20.9 cm²
-
D.
25.0 cm²
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (10 cm)² = 17.5 cm².
Correct Answer: A — 17.5 cm²
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