SOLUTION: I don't really understand this problem, it would be appreciated if you can show the steps and how to get the answer. thanks! If the perimeter of a rectangle is 104 inches and th

Algebra ->  Linear-equations -> SOLUTION: I don't really understand this problem, it would be appreciated if you can show the steps and how to get the answer. thanks! If the perimeter of a rectangle is 104 inches and th      Log On


   



Question 590625: I don't really understand this problem, it would be appreciated if you can show the steps and how to get the answer. thanks!
If the perimeter of a rectangle is 104 inches and the length of the rectangle is 6 inches less than its width, find the area of the rectangle.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the perimeter of a rectangle is 104 inches and the length of the rectangle is 6 inches less than its width,
find the area of the rectangle.
:
The perimeter equation
2L + 2W = 104
:
It says," the length of the rectangle is 6 inches less than its width,", therefore:
L = W - 6
:
In the perimeter equation, replace L with (W-6)
2(W-6) + 2W = 104
2W - 12 + 2W = 104
2W + 2W = 104 + 12
4W = 116
W = 116/4
W = 29 inches is the width
then
L = W - 6
L = 29 - 6
L = 23 inches is length
;
:
Check this, find the perimeter with these values
2(23) + 2(29) =
46 + 58 = 104