GED Mathematical Reasoning Geometry and Measurement 4

Question 1

A square has a perimeter of 36 meters. What is the area of the square?

Accepted Answer

81 sq m

Answer

Each side = 36 ÷ 4 = 9 m; Area = 9² = 81 square meters.

Question 2

In a right triangle, the two legs measure 6 ft and 8 ft. What is the length of the hypotenuse?

Accepted Answer

10 ft

Answer

By the Pythagorean theorem: c = √(6² + 8²) = √(36 + 64) = √100 = 10 ft.

Question 3

Which of the following best describes a parallelogram?

Accepted Answer

A quadrilateral with two pairs of parallel sides

Answer

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel.

Question 4

A trapezoid has parallel bases of 5 cm and 9 cm, and a height of 4 cm. What is its area?

Accepted Answer

28 cm²

Answer

Area = ½ × (b₁ + b₂) × h = ½ × (5 + 9) × 4 = ½ × 14 × 4 = 28 cm².

Question 5

An angle measures 145°. What type of angle is it?

Accepted Answer

Obtuse

Answer

An obtuse angle measures greater than 90° and less than 180°.

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