The dimensions of the swimming pool without the sidewalk are:
Length = 58 feet and Width = 29 feet.
The formula perimeter = 2(length + width) can be used to compute the perimeter of a rectangle, which is equal to twice the sum of its length and width. It is stated in linear measures like centimeters, inches, yards, and the like and represents the measurement of the entire rectangle's boundaries.
The perimeter of the rectangular swimming pool is 174 feet.
The width of the rectangular swimming pool is 3 feet.
Now without the sidewalk, the length is twice as long as its width.
Let L be the length and W be the width.
Then,
L = 2W
The perimeter of the rectangle is given as:
Perimeter = 2( L + W )
174 = 2( 2W + W )
174 = 2( 3W)
174 = 6W
W = 29 feet
Then, the length of the pool without the sidewalk is:
L = 2W
L = 2( 29 ) = 58 feet
The dimensions of the pool are 58 feet × 29 feet.
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