## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Entry-Level Assessment - Page xxxix: 4

#### Answer

H. $26$

#### Work Step by Step

1) Find the perimeter of the square which is P=4(2x) = 8x (side length is 2x) 2) Find the perimeter of the triangle which is the sum of the lengths P= 3x + 4x - 3 +16= 7x +13 3) Then since the lengths are equal, combine them giving you 7x + 13=8x 4) To solve for x, simplify like terms giving you 13=x 5) And since the lengths are equal, substitute the 13 into the 2(x). 6) Giving you 26, which is answer H

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