SOLUTION: the perimeter of a rectangle is 200cm. If the length:breadth = 3:2 find the area of the rectangle.

Algebra ->  Rectangles -> SOLUTION: the perimeter of a rectangle is 200cm. If the length:breadth = 3:2 find the area of the rectangle.      Log On


   



Question 700132: the perimeter of a rectangle is 200cm. If the length:breadth = 3:2 find the area of the rectangle.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the perimeter of a rectangle is 200cm. If the length:breadth = 3:2 find the area of the rectangle.
----
3:2 is the same as 3x:2x where length = 3x and breadth = 2x.
-----
Equation:
Perimeter = 2(length + breath)
200 = 2(3x + 2x)
100 = 5x
x = 20
----
length = 3x = 3*20 = 60
breath = 2x = 2*20 = 40
---------
Cheers,
Stan H.
============