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

The length is equal to 17. The width is equal to 7.

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