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Nadya [2.5K]
3 years ago
15

the length of a rectangle is 3 meters more than twice its width.the perimeter of the rectangle is 48 meters

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0
<h3><u>The length is equal to 17.</u></h3><h3><u>The width is equal to 7.</u></h3>

l = 3 + 2w

2l + 2w = 48

Because we have a value for l we can plug it into the second equation to find the exact value of w.

2(3 + 2w) + 2w = 48

Distributive property.

6 + 4w + 2w = 48

Subtract 6 from both sides.

4w + 2w = 42

Combine like terms.

6w = 42

Divide both sides by 6.

w = 7

We can plug this value for w back into the original equation to find the value of l.

l = 3 + 2(7)

l = 3 + 14

l = 17


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