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The length of a rectangle is 3 more than the width. Find the length of the rectangle if the perimeter is 98 in.A.47.5 inB.24.5 inC.26 in.D.23 in.

User Qarol
by
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1 Answer

4 votes

Answer

Length of the rectangle = 26 inches

Step-by-step explanation

Let the length of a rectangle be L

Let the width of the rectangle be W

The length of the rectangle is 3 more than the width.

L = W + 3

But we are provided with the perimeter of the rectangle.

The perimeter of a figure is the sum of the dimensions of its exterior.

For a rectangle,

Perimeter = 2 (L + W)

For this question,

Perimeter = 98 inches

L = W + 3

W = ?

Perimeter = 2 (L + W)

98 = 2 (W + 3 + W)

98 = 2 (2W + 3)

98 = 4W + 6

4W + 6 = 98

4W = 98 - 6

4W = 92

Divide both sides by 4

(4W/4) = (92/4)

W = 23 inches

L = W + 3 = 23 + 3 = 26 inches

Hope this Helps!!!

User Karthikeyan
by
8.2k points
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