SOLUTION: the length of a rectangle is 7 cm longer than its width. if the perimeter of the rectangle is 74 cm. find the length and the area of the rectangle.

Algebra ->  Rectangles -> SOLUTION: the length of a rectangle is 7 cm longer than its width. if the perimeter of the rectangle is 74 cm. find the length and the area of the rectangle.      Log On


   

Question 980660: the length of a rectangle is 7 cm longer than its width. if the perimeter of the rectangle is 74 cm. find the length and the area of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w width, L length, p perimeter
p=74

system%28L=w%2B7%2C2w%2B2L=p%29

2w%2B2%28w%2B7%29=p
2w%2B2w%2B14=p
4w=p-14
w=p%2F4-14%2F4
w=p%2F4-7%2F2
or maybe easier to use as w=%28p-14%29%2F4

L=%28p%2F4-14%2F4%29%2B7
L=p%2F4-14%2F4%2B28%2F4
L=%28p%2B14%29%2F4

--
w=%2874-14%29%2F4=15, width
-
L=%2874%2B14%29%2F4=88%2F4=22, length

Area, wL=330