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iren [92.7K]
3 years ago
9

the perimeter of the rectangle is 86 inches. if the length is 3 inches longer that the width, find the width of a rectangle.

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0
The length is 23in and the width is 20 inches
posledela3 years ago
7 0

Answer:

Width = 20 inches

Step-by-step explanation:

Perimeter = 86 inches

Width = W

Length = 3 + W

Use the formula 2L + 2W = P to solve

Substitute new value for length (3 + w) into the formula

2(3 + W) + 2W = P

Change perimeter into the equation to 86 inches (Given)

2(3 + W) + 2W = 86

Multiply

6 + 2W + 2W = 86

Add the W's

6 + 4W = 86

Subtract 6 from both sides of the equation

4W = 80

Divide both sides of the equation by 4

W = 20 inches

Hope this helps :)

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