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A building and I city has a rectangular base. The length of the base measures 70ft less than twice the width. The perimeter of this base is 820ft. What is the width?

User TrueEddie
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1 Answer

5 votes

Answer:the width is 160 ft

Explanation:

Let L represent the length of the rectangular base.

Let W represent the width of the rectangular base.

The length of the base measures 70ft less than twice the width. This means that

L = 2W - 70

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of this base is 820ft. This means that

2(L + W) = 820

L + W = 820/2 = 410

Substituting L = 2W - 70 into L + W = 410, it becomes

2W - 70 + W = 410

3W - 70 = 410

3W = 410 + 70 = 480

W = 480/3 = 160

User Mrz
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