GED Mathematical Reasoning Geometry and Measurement 3

Question 1

A circular garden has a diameter of 14 feet. What is the approximate area of the garden? (Use π ≈ 3.14)

Accepted Answer

153.86 sq ft

Answer

Area = π × r² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 square feet.

Question 2

Two angles are supplementary. One angle measures 73°. What is the measure of the other angle?

Accepted Answer

107°

Answer

Supplementary angles sum to 180°, so 180° − 73° = 107°.

Question 3

A rectangular box has a length of 10 cm, width of 4 cm, and height of 5 cm. What is its volume?

Accepted Answer

200 cm³

Answer

Volume = length × width × height = 10 × 4 × 5 = 200 cm³.

Question 4

On a coordinate plane, what is the distance between points (1, 2) and (4, 6)?

Accepted Answer

5

Answer

Distance = √[(4−1)² + (6−2)²] = √[9 + 16] = √25 = 5.

Question 5

A triangle has a base of 8 inches and a height of 11 inches. What is its area?

Accepted Answer

44 sq in

Answer

Area of a triangle = ½ × base × height = ½ × 8 × 11 = 44 square inches.

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