The formula for perimeter of a rectangle is 2l + 2w
We know the length is 6 inches shorter than the width so we can put this as
w - 6
Now, plug this into the expression 2l + 2w and set it equal to 32
2(w - 6) + 2(w) = 32
Now solve for w
2(w - 6) + 2(w) = 32
2w - 12 + 2w = 32
4w - 12 = 32
4w = 44
w = 11
The width equals 11 inches. Now to find the length, we have to subtract 6 since it is 6 inches shorter than the width
11 - 6 = 5
The length equals 5 inches
Now plug values of the length and width back into the equation 2l + 2w = 32 to make sure
2(5) + 2(11) = 32
10 + 22 = 32
32 = 32
Since 32 equals 32, we can be sure that the length equals 5 inches and the width equals 10 inches
Hope this helped!
