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The length of a picture is 18.25 inches shorter than twice the width. If the perimeter of the picture is 119.5 inches, find its dimensions.

Sagot :

An expression is defined as a set of numbers, variables, and mathematical operations. The length and the width of the picture are 33.75 inches and 26 inches, respectively.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The length of a picture is 18.25 inches shorter than twice the width. Therefore,

L = 2W - 18.25 inches

If the perimeter of the picture is 119.5 inches, therefore, the perimeter of the picture is,

Perimeter = 2(L+W)

119.5 = 2(2W - 18.25 + W)

119.5 = 2(3W-18.25)

119.5 = 6W - 36.5

156 = 6W

W = 26

Now, the length of the picture will be,

L = 2W - 18.25

L = 2(26) - 18.25

L = 33.75 inches

Hence, the length and the width of the picture are 33.75 inches and 26 inches, respectively.

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