The length of a rectangle picture is 5 inches more than three times the width. Find the dimensions of the picture if it's perimeter is 74 inches.

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 74 in

The statement

The length of a rectangle picture is 5 inches more than three times the width is written as

l = 5 + 3w

Substitute the expression into the above formula and solve for the width

That's

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 64

Divide both sides by 8

w = 8

Substitute this value into l = 5 + 3w and find the length

That's

l = 5 + 3(8)

l = 5 + 24

l = 29

The dimensions of the rectangle are

length = 29 inches

width = 8 inches

Hope this helps you

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step-by-step explanation: