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Answer : W = 14.375 inches

L = 38.125 inches

Step-by-step explanation:

Suppose the length of the rectangle is : L

and Width of the Rectangle is : W

As per the the given question

L = 3W -− 5 ---------- (1) // Length is five less than three times its width

Given Perimeter = 105 inches

2( L + W ) = 105 ---------- (2)

Put the value of L from equation (1) to equation (2)

2( 3W -− 5 + W)= 105

6W -− 10 + 2W = 105

8W -− 10 = 105

8W = 115

W = 14.375

Put the value of W in the equation (1)

L = 3W -− 5

L = 3*∗14.375 -− 5

L = 43.125 -− 5

L = 38.125

Answer : W = 14.375 inches

L = 38.125 inches