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Answer :
Answer:
length = 40ft
width = 20ft
Step-by-step explanation:
The perimeter of a rectangle is represented by the formula;
P = 2l + 2w
where
p is the perimeter
l is the length of the rectangle
w is the width of the rectangle
From the question
p = 120 ft
The length of the rectangle is 2 times the width can be represented as;
l = 2w
The expression is then substituted into the original equation;
[tex]120 = 2(2w) + 2w \\ 120 = 4w + 2w \\ 120 = 6w \\ \frac{120}{6} = \frac{6w}{6} \\ w = 20[/tex]
The width of the rectangle is 20ft. This value is then substituted into the equation l = 2w.
[tex]l = 2(20) = 40[/tex]
The length of the rectangle is 40 ft
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