Area

Q. If a square has an area of 49 square meters, what is the perimeter of the square?

A. 28
B. 24
C. 20
D. 32

Solution

Side = √49 = 7 meters; Perimeter = 4 × side = 4 × 7 = 28 meters.

Correct Answer: A — 28

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Q. If the area of a circle is 50.24 square meters, what is the radius of the circle? (Use π = 3.14)

A. 4
B. 5
C. 6
D. 7

Solution

Area = π × radius², so radius² = Area / π = 50.24 / 3.14 = 16, thus radius = √16 = 4 meters.

Correct Answer: B — 5

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Q. If the area of a rectangle is 120 square meters and its length is 15 meters, what is the width of the rectangle in meters?

A. 8
B. 10
C. 12
D. 14

Solution

Area = length × width; 120 = 15 × width; width = 120 / 15 = 8 meters.

Correct Answer: B — 10

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Q. If the area of a rectangle is 120 square meters and the length is 10 meters, what is the width?

A. 12
B. 10
C. 8
D. 6

Solution

Area = length × width, so width = Area / length = 120 / 10 = 12 meters.

Correct Answer: A — 12

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Q. If the area of a square is 64 square meters, what is the length of one side of the square?

A. 6
B. 8
C. 10
D. 12

Solution

Area = side², so side = √64 = 8 meters.

Correct Answer: B — 8

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Q. If the area of a square is 64 square meters, what is the length of one side of the square in meters?

A. 6
B. 7
C. 8
D. 9

Solution

Area = side²; 64 = side²; side = √64 = 8 meters.

Correct Answer: C — 8

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Q. If the area of a square is 81 square meters, what is the length of one side of the square in meters?

A. 7
B. 8
C. 9
D. 10

Solution

Area = side², so side = √81 = 9 meters.

Correct Answer: C — 9

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Q. If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle in meters?

A. 8
B. 10
C. 12
D. 15

Solution

Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.

Correct Answer: B — 10

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Q. If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle?

A. 10
B. 12
C. 8
D. 6

Solution

Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.

Correct Answer: A — 10

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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

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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

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Q. The area of a circle is 78.5 square meters. What is the radius of the circle? (Use π = 3.14)

A. 5
B. 6
C. 7
D. 8

Solution

Area = π × radius²; 78.5 = 3.14 × radius²; radius² = 78.5 / 3.14 = 25; radius = √25 = 5 meters.

Correct Answer: B — 6

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Q. The area of a rectangle is 120 square meters. If the length is 15 meters, what is the width?

A. 8
B. 10
C. 12
D. 6

Solution

Area = length × width; 120 = 15 × width; width = 120 / 15 = 8 meters.

Correct Answer: A — 8

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Q. The area of a rectangle is 120 square meters. If the length is twice the width, what is the width of the rectangle in meters?

A. 6
B. 8
C. 10
D. 12

Solution

Let width = x; length = 2x; Area = length × width = 2x × x = 120; 2x² = 120; x² = 60; x = √60 ≈ 7.75 (not an option).

Correct Answer: B — 8

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Q. The area of a triangle is 60 square meters and its base is 12 meters. What is the height of the triangle in meters?

A. 8
B. 10
C. 12
D. 15

Solution

Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.

Correct Answer: B — 10

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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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Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees? (Use π = 3.14)

A. 12.56 m²
B. 6.28 m²
C. 3.14 m²
D. 9.42 m²

Solution

Area of sector = (θ/360) × πr² = (90/360) × 3.14 × (4 m)² = 12.56 m² / 4 = 3.14 m².

Correct Answer: B — 6.28 m²

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Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees?

A. 6.28 m²
B. 12.56 m²
C. 3.14 m²
D. 9.42 m²

Solution

Area of sector = (θ/360) × πr² = (90/360) × π × (4 m)² = (1/4) × 3.14 × 16 m² = 12.56 m².

Correct Answer: B — 12.56 m²

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Q. What is the area of a sector of a circle with a radius of 5 cm and a central angle of 60 degrees? (Use π = 3.14)

A. 13.09 cm²
B. 15.71 cm²
C. 10.42 cm²
D. 12.27 cm²

Solution

Area of sector = (θ/360) × πr² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².

Correct Answer: A — 13.09 cm²

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Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14)

A. 18.84 cm²
B. 12.56 cm²
C. 9.42 cm²
D. 6.28 cm²

Solution

Area = (θ/360) × π × r² = (60/360) × 3.14 × (6 cm)² = 18.84 cm².

Correct Answer: A — 18.84 cm²

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Q. What is the area of a square with a side length of 4 m?

A. 8 m²
B. 12 m²
C. 16 m²
D. 20 m²

Solution

Area = side × side = 4 m × 4 m = 16 m².

Correct Answer: C — 16 m²

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Showing 61 to 90 of 92 (4 Pages)

Area

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