Question

7. John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The
fence is to be 15 feet from the edge of the pool.

Answer 1

The total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.

What is the perimeter of a rectangle?

The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of the sides of the rectangle.

$P=2(a+b)$

Here, (l) is the length and (w) is the width of the rectangle.

John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide.  The fence is to be 15 feet from the edge of the pool from all the sides.

Thus, add 15 two times in length and width for both side of pool.  The length of the fence is,

$l=23+15+15\\l=53$

The width of the fence is,

$l=22+15+15\\l=52$

The perimeter of the fence is,

$P=2(l+w)\\P=2(53+52)\\P=2(105)\\P=210\rm\; ft$

Thus, the total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.

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