SOLUTION: A square is divided into 4 rectangles of equal size, if the perimeter of each rectangle is 80 cm. what is the area of the square?

Algebra ->  Rectangles -> SOLUTION: A square is divided into 4 rectangles of equal size, if the perimeter of each rectangle is 80 cm. what is the area of the square?       Log On


   

Question 773693: A square is divided into 4 rectangles of equal size, if the perimeter of each rectangle is 80 cm. what is the area of the square?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let y = length of one side of the square.
The square of side y cut into four equal rectangles:
If 2y%2B2%28y%2F4%29=80, then what is y%5E2?


Steps, algebraic
%282%2B1%2F2%29y=80
%285%2F2%29y=80
y=%282%2F5%2980
highlight%28y=32%29

Area of Square: y%2Ay=32%5E2=highlight%281024%29 cm%5E2