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What is the width of a rectangular figure that has a 3 centimeter length less then twice the width and the perimeter is 24 centimeters

Respuesta :

7 cm should be correct
Width = 5cm, Length = 7cm.

Create the following two formulas specified by the problem.
First, define length in terms of width.
L = 2*W - 3

Then define perimeter in terms of width and length.
2*W + 2*L = 24

Since we have L defined in terms of W, substitute into the perimeter formula.
2*W + 2*(2*W - 3) = 24

Expand formula
2*W + 4*W - 6 = 24

Combine W and add 6 to both sides
6*W = 30

Divide both sides by 6 to get W
W = 5

Now get L
L = 2*W - 3
L = 2*5 - 3
L = 7

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