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The length of a rectangle is five time it’s width. If the perimeter of a rectangle is 84ft, find its area

The length of a rectangle is five time it’s width. If the perimeter of a rectangle-example-1
User Ncraley
by
2.6k points

1 Answer

7 votes
7 votes

Answer:

Area = 245 ft

(Width

Explanation:

l = 5w

Where l is length and w is width.

We also know that the perimeter is 84 ft, so:

2l + 2w = 84

Now we can plug in 5w for l since we found the equality earlier:

2(5w) + 2w = 84

and then solve for w:

10w + 2w = 84

12w = 84

w = 7

so

l = 5 × 7

l = 35

The length is 35 and width is 7 so

the area of the rectangle is


7 * 35 = 245ft

User Andrew Stubbs
by
3.0k points
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