Question

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle.

Find the width of the rectangle.


6 in.
6.5 in.
7.5 in.

Answer 1

So, w is your width.
Your length would be w+4, then right?

There are 2 sides w and 2 sides w+4 and all those added up total 34.
Can you come up with the equation?

Answer 2

yeah Becki

Answer 3

Just checking back in to see if you got this worked out.

Answer 4

you can use the perimeter formula of a rectangle...
Perimeter (P) = 2L (length) + 2W (width)

Length is 4 more then the width
L = W + 4

Perimeter = 34

now lets sub..
P = 2L + 2W
34 = 2(W + 4) + 2W -- distribute through the parenthesis
34 = 2W + 8 + 2W -- combine like terms
34 = 4W + 8 -- subtract 8 from both sides
34 - 8 = 4W
26 = 4W -- divide by 4
26/4 = W
6 1/2 = W -- (or 6.5)

now sub 6.5 in for W
L = W + 4
L = 6.5 + 4
L = 10.5 or 10 1/2

check..
P = 2L + 2W
34 = 2(10.5) + 2(6.5)
34 = 21 + 13
34 = 34 (correct)

W = 6.5
L = 10.5