A rectangular pool is twice as long as it is wide. What are the dimensions of the pool if the perimeter is 48 yd?
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Answer:
Perimeter is the distance around the outside.
For a rectangle, P = 2L + 2W where
P = Perimeter, L = Length, W = Width
P = 42, so...
2L + 2W = 42 yards
Since the pool is twice as long as it is wide, L = 2W
Replace L with 2W
2(2W) + 2W = 42
4W + 2W = 42
6W = 42
Divide both sides by 6
6W/6 = 42/6
W = 7 yards
The width of the pool is 7 yards.
The length is twice the width so the length is 14 yards
The pool is 7 yds by 14 yds
Check Answer: P = 2L + 2W = 42
2(7)+2(14)= 42
14 + 28 = 42
42 = 42
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