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The perimeter of a rectangle is 4949 feet. If the length is 1111 feet, find the width.Step 2 of 3 :  Without substitution, solve the formula for the unknown variable in terms of the known variable

Question

The perimeter of a rectangle is 4949 feet. If the length is 1111 feet, find the width.Step 2 of 3 :  Without substitution, solve the formula for the unknown variable in terms of the known variable

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Solution

The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

We are given that P = 4949 feet and l = 1111 feet. We are asked to find w.

First, let's solve the formula for w:

P = 2l + 2w 4949 = 2*1111 + 2w 4949 = 2222 + 2w

Subtract 2222 from both sides to isolate 2w:

4949 - 2222 = 2w 2727 = 2w

Finally, divide both sides by 2 to solve for w:

w = 2727 / 2 w = 1363.5 feet

So, the width of the rectangle is 1363.5 feet.

This problem has been solved

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