SOLUTION: the rectangle has a perimeter (P) of 58 inches. the length (l) is one more than 3 times the width (w). Write and solve a system of linear equations to find the length and width of

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Question 178575: the rectangle has a perimeter (P) of 58 inches. the length (l) is one more than 3 times the width (w). Write and solve a system of linear equations to find the length and width of the rectangle. Show your work
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let the length of the rectangle be represented by

Let the length of the rectangle be represented by


Equation 1: Perimeter formula:

Equation 2: Sides relationship:

Substitute 58 for P and for into Equation 1.

Solve the result for

Substitute the value just discovered for into Equation 2 and solve for





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