EOG Review -- Geometry

An irrigation system waters in circular patterns. Each irrigated section is a circle with a diameter of 40 feet. In terms of  $\pi$ , what is the area of an irrigated section?

•  $20\pi\ ft^2$ 

•  $40\pi\ ft^2$ 

•  $400\pi\ ft^2$ 

•  $1600\pi\ ft^2$ 

A rectangular room on a blueprint is 2 inches wide and 5 inches long. If the scale of the blueprint to the actual room is 1 inch = 72 inches, what is the width of the room in feet?

• 12 ft

• 18 ft

• 30 ft

• 36 ft

Luanne made a photocopy of a drawing of a rectangle. The original drawing was 4.5 inches wide and 6 inches long. The copy was 6.75 inches wide and 9 inches long. What was the scale factor of original to the copy?

• 2:3

• 1:2

• 4:9

• 1:3

Justin made a scale drawing of a rectangular playground. He used the scale 2 centimeters = 3 feet. His drawing is 18 centimeters x 24 centimeters. What is the actual area of the playground?

• 24 cm

• 23 cm

• 22 cm

• 21 cm

Which set of side lengths can form a triangle?

• 6cm, 8cm, and 16cm

• 6cm, 8cm, and 10cm

• 6cm, 7cm, and 14cm

• 6cm, 7cm, and 20cm

Dabir bought a map of his city. It uses a scale of 1 inch = 8 miles. Dabir's house and school are 1 1/2 inches apart on the map. How many more inches apart would his house and school have been on the map if the scale were 1 inch = 5 miles?

• 0.9 inches

• 2.4 inches

• 5.3 inches

• 12.0 inches

The fountain in the middles of a park is circular, with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around the fountain. What is the approximate area of the walkway?

Which angle measures can form a triangle?

The two ends of this triangular right prism are equilateral triangles. The measurements are given to the nearest tenth of a cm. What is the surface area of the prism?