Q. 228 The perimeter of a rectangular a... [FREE SOLUTION]

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Intermediate Algebra

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OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 228 (page 147)

The perimeter of a rectangular atrium is 160 feet. The length is 16 feet more than the width. Find the length and width of the atrium.

Short Answer

Expert verified

The length of the atrium is 48 feet and the width is 32 feet.

Step by step solution

Step 1. Given Information

The perimeter of the atrium is 160 feet.
The length of the atrium is 16 feet more than the width.

Step 2. Define the Variables

Assume that the width of the atrium is w.
So, the length of the atrium is $w + 16$ .

Step 3. Use the Perimeter Formula

Substitute $P = 160$ feet and $l = w + 16$ in the formula of perimeter of a rectangle and solve to find the missing variable.

$160 = 2 (w) + 2 (w + 16) 160 = 4 w + 32 4 w = 128 w = 32$

So, the width of the rectangle is 32 feet.

Step 4. Find the Length

Substitute $w = 32$ in $l = w + 16$ and solve to find the length of the atrium.

$l = 32 + 16 = 48$

So, the length of the atrium is 48 feet.

Step 5. Conclusion

The length of the atrium is 48 feet and the width is 32 feet.

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91影视

The perimeter of a rectangular atrium is 160 feet. The length is 16 feet more than the width. Find the length and width of the atrium.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Define the Variables

Step 3. Use the Perimeter Formula

Step 4. Find the Length

Step 5. Conclusion

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