Honors Geometry Companion Book, Volume 2

9.2.2 Effects of Changing Dimensions Proportionally − Worksheet

Example 1: Describe the effect of each change on the area of the given figure. 1. The height of the triangle is doubled.

12 m

21 m

2. The height of a trapezoid with base lengths 12 cm and 18 cm and height 5 cm is multiplied by 1 3 .

Example 2: Describe the effect of each change on the perimeter or circumference and the area of the given figure. 3. The base and height of a triangle with base 12 in. and height 6 in. are both tripled.

4. The base and height of the rectangle are both multiplied by 1 2 .

18 ft

6 ft

Example 3: 5. A square has an area of 36 m 2 . If the area is doubled, what happens to the side length?

6. A circle has a diameter of 14 ft. If the area is tripled, what happens to the circumference?

Example 4: 7.  A restaurant has a weekly ad in a local newspaper that is 2 inches wide and 4 inches high and costs $36.75 per week. The cost of each ad is based on its area. If the owner of the restaurant decides to double the width and height of the ad, how much will the new ad cost?

140

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