Q. 217 The width of the rectangle is 0.... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 217 (page 146)

The width of the rectangle is 0.7 meters less than the length. The perimeter of a rectangle is 52.6 meters. Find the dimensions of the rectangle.

Short Answer

Expert verified

The length of the rectangle is $13.5$ meters and its width is $12.8$ meters.

Step by step solution

Step 1. Given Information

The width of the rectangle is $0.7$ meters less than the length.
The perimeter of the rectangle is $52.6$ meters

Step 2. Define the variables

Let the length of the rectangle is l meters.
So, the width of the rectangle will be $l - 0.7$ meters.

Step 3. Use the formula of Perimeter

Use the formula of perimeter, $P = 2 w + 2 l$ and substitute $P = 52.6, w = l - 0.7$ into the formula and solve for the unknown variable.

$52.6 = 2 (l - 0.7) + 2 (l) 52.6 = 4 l - 1.4 4 l = 54 l = 13.5$

So, the length of the rectangle is $13.5$ meters.

Step 4. Find the Width

Substitute $l = 13.5$ in $w = l - 0.7$ and solve to find the width.

$w = 13.5 - 0.7 = 12.8$

So, the width of the rectangle is $12.8$ meters.

Step 5. Conclusion

The length of the rectangle is $13.5$ meters and its width is $12.8$ meters.

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91影视

The width of the rectangle is 0.7 meters less than the length. The perimeter of a rectangle is 52.6 meters. Find the dimensions of the rectangle.

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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