SOLUTION: length of a rectangle is 5 times its width perimeter is 84 find the area

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: length of a rectangle is 5 times its width perimeter is 84 find the area      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 980791: length of a rectangle is 5 times its width perimeter is 84 find the area
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!

Let  w  be the width of the rectangle.
'
Then the length of the rectangle is  5w units, according to the condition.

Therefore, the perimeter of the rectangle is

w + 5w + w + 5w = 12w.

It is equal to  84  units:

12*w = 84.

Hence, w = 84%2F12 = 7 units.

Thus we found that the width of the rectangle is  7  units.
Hence, the length of the rectangle is  5*7  = 35 units.

It means that the area of the rectangle is  7*35 = 245 units.