**30 POINTS** The Scotts have a yard in the shape of a square. The area of the yard is 128 square meters, and the Scotts want to
1 answer:
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Given:
Perimeter of rectangular swimming pool = 84 meters
Width of pool = 3/4 of the length
Let's find the length and width of the pool.
Since the swinning pool has the shape of a rectangle and we have the perimeter, to find the length and width, apply the perimeter of a rectangle formula:
Where:
L is the length
W is the width.
Given:
W = ¾L
Substitute 84 for perimeter and ¾L for W.
Hence, we have:
Let's evealuate the equation and solve for L.
We have:
Divide both sides by 3.5:
To solve for the width W, substitute 24 for L in (W=¾L)
Therefore, the length of the swimming pool is 24 meters, while the width is 18 meters.
ANSWER:
Length = 24 meters
Width = 18 meters