Question 590625
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