Answer:
11" x 16"
Step-by-step explanation:
This problem can be solved with an equation
If you translate the first words into an equation, you get:
l = 2w - 6
(where w is width and l is length)
The perimeter (p) of any rectangle is 2l + 2w, so
if p = 54
then 54 = 2l + 2w
Now, you have the following two equations:
l = 2w - 6
2l + 2w = 54
In order to solve this for w, you can replace the l in the equation with (2w - 6) because of the substitution property of equality (if a = b, then a can be replaced with b at any time), so you get:
54 = 2(2w - 6) + 2w
Now, you simplify:
54 = 2(2w - 6) + 2w
= 54 = 4w - 12 + 2w
= 54 = 6w - 12
= 66 = 6w
= w = 11
So the width is 11. In order to find the length you just need to substitute it into the equation for the perimeter:
2l + 2(11) = 54
= 2l + 22 = 54
= 2l = 32
= l = 16
In conclusion, the width is 11 and the length is 16.
