SOLUTION: A piece of wire is shaped to enclose a rectangle with a length of 15cm and whose area is 150 sq.cm. It is then reshaped to enclose a square. Find the area of the square in sq. cm.

Algebra ->  Surface-area -> SOLUTION: A piece of wire is shaped to enclose a rectangle with a length of 15cm and whose area is 150 sq.cm. It is then reshaped to enclose a square. Find the area of the square in sq. cm.      Log On


   



Question 1111550: A piece of wire is shaped to enclose a rectangle with a length of 15cm and whose area is 150 sq.cm. It is then reshaped to enclose a square. Find the area of the square in sq. cm.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
The width of your rectangle is  Area%2FLength = 150%2F15 = 10 cm.


The perimeter of your rectangle is  15 + 10 + 15 + 10 = 50 cm.


The side length of the square is  50%2F4 = 12.5 cm.


The area of the square is  12.5%5E2 cm^2.

Solved.