Big Ideas Math Integrated I, 2016
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Exercise 15 Page 435

Let one of the yard's corners be the origin and let each unit represent 1 foot. How does the 3-foot edge affect the length and width of the pool?

Perimeter: 46 ft
Area: 126 ft^2

Practice makes perfect

Let's start by drawing the backyard, which is 15 feet by 20 feet. We can let the origin be one of its corners. For simplicity, let each unit represent 1 foot.

Since there should be a 3-foot edge around the pool, it cannot occupy the entire yard.

Because the 3-foot edge surrounds the entire pool, it shortens the pool's lengths on all sides. Therefore, the pool cannot be greater than 14 feet by 9 feet.

Perimeter

To find the perimeter of the pool, we can add all the side lengths. There are two 14-foot sides and two 9-foot sides. Perimeter=14+14+9+9 = 46ft

Area

We find the area by multiplying the width by the length. 14*9 = 126 ft^2