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The perimeter of a rectangle is 120 inches. The length is 10 more than the width. Find the length and width

The perimeter of a rectangle is 120 inches. The length is 10 more than the width. Find the length and width
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5 votes
The perimeter of a rectangle is 120 inches. The length is 10 more than the width. Find the length and width

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User Yoape
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7.5k points

1 Answer

7 votes

The formula of a perimeter of a rectangle:


P=2(l+w)

We have:


P=120\ in\\\\l=w+10

Substitute


2(w+10+w)=120\\\\2(2w+10)=120\ \ \ \ |:2\\\\2w+10=60\ \ \ \ |-10\\\\2w=50\ \ \ \ |:2\\\\w=25\\\\l=25+10=35

Answer: Length = 35 in, Width = 25 in.

answered
User TommyLike
by
8.3k points
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