7.G.1 Study Guide

Michelle’s dad decides to put fencing around the backyard. He creates a scale drawing, where every 3 inches represents 13 feet. How much fencing does Michelle’s dad need to buy to build the fence?

• 19 feet

• 57 feet

• 247 feet

• 251 feet

The blueprint for a new house includes a triangular shaped room in the attic. The triangular room appears on the blueprint as shown. If the blueprint was made using a scale factor of 1/2 centimeter = 1 meter, what is the actual perimeter of the triangular room?

• 2.5 meters

• 4.5 meters

• 9 meters

• 18 meters

The scale drawing of a mural at Westside Middle School is shown. A scale factor of 1.5 inches = 1 yard was used to create the drawing. How many square yards of paint will be necessary to complete the mural?

• 5 square yards

• 15 square yards

• 22.5 square yards

• 33.75 square yards

A map of a town was made using a scale factor of 1 inch = 1/2 mile. On the map, Sonja measures that her house is 3 inches away from Sal’s house. What is the actual distance between Sonja’s house and Sal’s house?

• 1 1/2 miles

• 3 miles

• 3 1/2 miles

• 6 miles

Study the two equilateral triangles shown. By what factor is Triangle 1 reduced to form Triangle 2?

• 0.5

• 0.75

• 1.25

• 2.5

An architect draws a scale model of the floorplan of a warehouse. What is the approximate area of the actual warehouse?

• 127.5 square yards

• 85 square yards

• 56.7 square yards

• 31.3 square yards

A landscaper draws a scale model of a park. If each 0.5 cm on the scale drawing equals 10 meters, what is the actual area of the park?

• 1,200 m²

• 4,800 m²

• 6,400 m²

• 8,000 m²

Neymar is drawing a scale model of his bedroom. The scale of the model is 1 cm = 1.25 ft. What is the actual perimeter of Neymar’s bedroom?

• 35 feet

• 44 feet

• 61 feet

• 76 feet

A model of a triangular lawn is scaled to have 1 cm represent 10 yards. What is the area of the actual lawn?

• 120 square yards

• 240 square yards

• 1,200 square yards

• 2,400 square yards

The distance on a map between two locations is 2.25 inches. If 1 inch = 24 miles, what is the actual distance between the two locations?

• 54 miles

• 48 miles

• 26.25 miles

• 10.67 miles