Q. 227 The perimeter of a rectangular f... [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. 227 (page 147)

The perimeter of a rectangular field is 560 yards. The length is 40 yards more than the width. Find the length and width of the field.

Short Answer

Expert verified

The length of the field is 160 yards and the width is 120 yards.

Step by step solution

Step 1. Given Information

The perimeter of the field is 560 yards.
The length of the field is 40 yards more than the width of the field.

Step 2. Define the Variables

Let the width of the field is w.
So, the length of the field is $w + 40$ yards.

Step 3. Use the Perimeter Formula

Substitute $P = 560$ and $l = w + 40$ in the formula of the perimeter of a rectangle, $P = 2 l + 2 w$ and solve to find the unknown variable.

$560 = 2 (w + 40) + 2 w 560 = 4 w + 80 4 w = 480 w = 120$

So, the width of the field is 120 yards.

Step 4. Find the Length

Substitute $w = 120$ into $l = w + 40$ and find the length of the field.

$l = 120 + 40 = 160$

So, the length of the field is 160 yards.

Step 5. Conclusion

The length of the field is 160 yards and the width is 120 yards.

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91影视

The perimeter of a rectangular field is 560 yards. The length is 40 yards more than the width. Find the length and width of the field.

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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