Q. 215 The width of a rectangle is seve... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 215 (page 146)

The width of a rectangle is seven meters less than the length. The perimeter is 58 meters. Find the length and width.

Short Answer

Expert verified

The length of the rectangle is 18 meters and the width is 11 meters.

Step by step solution

Step 1. Given Information

The width of the rectangle is 7 meters less than the length.
The perimeter of the rectangle is 58 meters.

Step 2. Define the variables

Let the length of the rectangle is lmeters.
So, the width will be l -7 meters.

Step 3. Use the formula of Perimeter

Substitute $P = 58, w = l - 7$ in the formula of perimeter, $P = 2 w + 2 l$ and solve to find the value of the unknown.

role="math" localid="1644154084896" $58 = 2 (l - 7) + 2 (l) 58 = 4 l - 14 72 = 4 l l = 18$

So, the length of the rectangle is 18 meters.

Step 4. Find the Width

Substitute $l = 18$ into $w = l - 7$ and solve to find the width.

$w = 18 - 7 = 11$

So, the width of the rectangle is 11 meters.

Step 5. Conclusion

The length of the rectangle is 18 meters and the width is 11 meters.

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91影视

The width of a rectangle is seven meters less than the length. The perimeter is 58 meters. Find the length and width.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Define the variables

Step 3. Use the formula of Perimeter

Step 4. Find the Width

Step 5. Conclusion

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