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The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width

User NJE
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1 Answer

2 votes

Answer:

The width is 10 inches

The length is 30 inches

Explanation:

Perimeter of a Rectangle

The perimeter of a rectangle of length L and width W is calculated as follows:

P = 2L + 2W

It's given the length of a rectangle is 10 more than twice the width:

L = 2W + 10

Substituting into the formula of the perimeter:

P = 2(2W + 10) + 2W

Operating:

P = 4W + 20 + 2W

P = 6W + 20

It's given this perimeter is 80 inches, thus

6W + 20 = 80

Subtracting 20:

6W = 80 - 20 = 60

Dividing by 6:

W = 60 /6 = 10

Since :

L = 2W + 10

L = 2*10 + 10

L = 30

The width is 10 inches

The length is 30 inches

User Kamahl
by
5.0k points
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