Answer:
17
Step-by-step explanation:
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Since the length of the rectangle is 3 less than twice the width, it can be represented by 2w - 3
Plug in the perimeter, w for the width, and 2w - 3 for the length in the equation:
P = 2l + 2w
54 = 2(2w - 3) + 2w
Distribute the 2 to the parentheses:
54 = 4w - 6 + 2w
Add like terms:
54 = 6w - 6
Solve for w:
60 = 6w
10 = w
So, the width is 10. To find the length, plug in 10 as w into 2w - 3
2w - 3
2(10) - 3
= 17
So, the length is 17.
