Practice 7.5(C) SCORE __________ Solve mathematical and real-world problems involving similar shape and scale drawings. Example Terrell built a model of an airplane. The length of one wing in the model is 4 inches long. The scale of the model is 1 inch = 17.5 meters. Find the length of the actual wing of the airplane. = Write a proportion. 1 x = 17.5 4 Cross multiply. • x = 70 Simplify. So, the actual wing is 70 meters. 1 The model of a soccer field is shown. The scale on 3 Samantha is following a blueprint to build an addition the model is 1 inch = 4 yards. Manny ran across the to her house. The kitchen countertop will be 8.75 feet length of the soccer field five times. How far did long. The scale of the blueprint is 1 centimeter = 1.75 Manny run? feet. What is the length of the countertop on the blueprint? A 5 cm B 7 cm C 15 cm D 17 cm A 6 yd B 30 yd A 15-foot tall tree is next to a slide. The tree is 4 96 yd casting a shadow of 22.5 feet and the slide is casting C a shadow that is 10.5 feet. How tall is the slide? D 480 yd F 7 ft 15 ft 2 The map of a park that a pond is 4 inches away G from a playground. The scale of the map is 1 inch H 25 ft represents 5.25 meters. How far apart are the actual J 33 ft pond and playground? F 7 m G 13 m H 15 m J 21 m
Practice 7.5(C) SCORE __________ Solve mathematical and real-world problems involving similar shape and scale drawings. Example Terrell built a model of an airplane. The length of one wing in the model is 4 inches long. The scale of the model is 1 inch = 17.5 meters. Find the length of the actual wing of the airplane. = 1 • x = 17.5 4 x = 70 Write a proportion. Cross multiply. Simplify. So, the actual wing is 70 meters. 1 The model of a soccer field is shown. The scale on the model is 1 inch = 4 yards. Manny ran across the length of the soccer field five times. How far did Manny run? A 6 yd B 30 yd C 96 yd D 480 yd 2 The map of a park that a pond is 4 inches away from a playground. The scale of the map is 1 inch represents 5.25 meters. How far apart are the actual pond and playground? F 7 m G 13 m H 15 m J 21 m 3 Samantha is following a blueprint to build an addition to her house. The kitchen countertop will be 8.75 feet long. The scale of the blueprint is 1 centimeter = 1.75 feet. What is the length of the countertop on the blueprint? A 5 cm B 7 cm C 15 cm D 17 cm 4 A 15-foot tall tree is next to a slide. The tree is casting a shadow of 22.5 feet and the slide is casting a shadow that is 10.5 feet. How tall is the slide? F 7 ft G 15 ft H 25 ft J 33 ft