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The length of a rectangle is eight more than double the width. If the perimeter is 130 inches, find the

dimensions.

User Matt Hyde
by
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1 Answer

2 votes

Answer:

The length is 46 inches and the width is 19 inches

Explanation:

Let w represent the width.

The length of the rectangle can be represented by 2w + 8, since it is eight more than double the width.

Use the perimeter formula, p = 2l + 2w. Plug in 130 as the perimeter and 2w + 8 as l, then solve for w:

p = 2l + 2w

130 = 2(2w + 8) + 2w

130 = 4w + 16 + 2w

130 = 6w + 16

114 = 6w

19 = w

So, the width is 19 inches. Plug in 19 as w into 2w + 8 to find the length:

2w + 8

2(19) + 8

38 + 8

= 46

The length is 46 inches and the width is 19 inches

User Arun Pal
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3.7k points