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The perimeter of a rectangle is 90 feet. If the length is 25 feet more than the width,what are the dimensions of the rectangle?

User Nulltek
by
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1 Answer

2 votes

Answer:

Width = 10 feet

Length = 2x + 4

Length = 2 (10) + 4

Length = 24 feet

Dimensions are 10 feet by 24 feet.

Explanation:

The perimeter of a rectangle is the length of all 4 sides added together. Since it is a rectangle, we know that it has 2 pairs of identical parallel sides, so the perimeter will be 2 × the length plus 2 times the width. The problem gives us some key information so that we can solve for the dimensions. If we let x equal the width, the length will be 2x + 4 so the equation will be...

2(x) + 2 (2x + 4) = 68

2x + 4x + 8 = 68

6x + 8 = 68

6x = 60

x = 10

Since we made the width x...

Width = 10 feet

Length = 2x + 4

Length = 2 (10) + 4

Length = 24 feet

Dimensions are 10 feet by 24 feet.

User Salim Murshed
by
5.5k points
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