The perimeter of a rectangle is 126 ft the ratio of length to its width is 5: 4 what are the dimensions of the rectangle
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Perimeter = 2* length(L) + 2* width (W)
Perimeter = 2L + 2* W
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The ratio of length to its width is 5: 4
5L= 4W
L = 4/5 W
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Replacing in the perimeter expression
Perimeter = 2L + 2* W
Perimeter = 2( 4/5 W ) + 2* W
Perimeter =8/5 W + 2W
Perimeter = (8/5 +2) W
126 = (8+10)/5 W
126= 18/5 W
126*5/18= w
W= 35
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L = 4/5 W
L = 4/5 (35)
L= 4* 7
L= 28
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Answer
Dimensions of the rectangle are,
Length= 28 ft
Width= 35 ft