What is the width of a rectangular figure that has a 3 centimeter length less then twice the width and the perimeter is 24 centi
meters
2 answers:
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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