SOLUTION: The length of a rectangle is twice the width of the rectangle. The length of a diagonal of the rectangle is 25cm. How do I find out the are of the rectangle?

Algebra.Com
Question 290798: The length of a rectangle is twice the width of the rectangle. The length of a diagonal of the rectangle is 25cm. How do I find out the are of the rectangle?
Answer by Greenfinch(383)   (Show Source): You can put this solution on YOUR website!
If the width is X, the length is 2X and the diagonal is sqrt ((X^2) + (2X)^2)
So sqrt(5X^2) = 25 or 5X^2 = 625
X^2 = 125
Area is X x 2X = 2X^2 = 250

RELATED QUESTIONS

the length of the rectangle is TWICE the width. th length of the diagonal is 25cm... (answered by JBarnum)
a rectangle has a length that is twice its width. the perimeter of the rectangle is 420.... (answered by ewatrrr)
The length of a diagonal of a rectangle is 30 in. The width of the rectangle is 24 in.... (answered by Timnewman,Alan3354)
The length of a diagonal of a rectangle is 30 in. The width of the rectangle is 24 in.... (answered by Timnewman)
The length of a rectangle is 2 inches less than twice the width. The diagonal is 5... (answered by Alan3354,nerdybill)
the length of a rectangle is 8 meters less than twice its width. if the diagonal of the (answered by checkley71)
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is (answered by Nate)
The width of a rectangle is 4 less than twice its length. If the area of the rectangle is (answered by Ms.Smith)
The width of a rectangle is 3 less than twice its length. If the area of the rectangle is (answered by checkley77)