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One side of a rectangle is 11 inches shorter than four times another side. Find the length of the longer side if we also know that the perimeter of the rectangle is 118 inches.

Sagot :

Answer:

The length of the longer side is 45 inches

Explanation:

Let the shorter side of the rectangle = b

Let the longer side of the rectangle = l

One side of a rectangle is 11 inches shorter than four times another side.

l = 4b - 11

Perimeter of a rectangle is given as:

P = 2(l + b)

The perimeter is 118 inches

118 = 2[(4b - 11) + b]

118/2 = 4b + b - 11

59 = 5b - 11

5b = 59 + 11

5b = 70

b = 70/5

b = 14

l = 4b - 11

l = 4(14) - 11

l = 45

The length of the longer side is 45 inches