SOLUTION: How to find the area of a rectangle whose length is 12 and whose diagonal is 13?

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Question 989471: How to find the area of a rectangle whose length is 12 and whose diagonal is 13?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a diagonal divides a rectangle in two right angle triangles; so, use Pythagorean theorem
if the length is L=12 and whose diagonal is d=13, than the width W will be
W%5E2=d%5E2-L%5E2
W%5E2=13%5E2-12%5E2
W%5E2=169-144
W%5E2=25
W=sqrt%2825%29
highlight%28W=5%29

so, the length is L=12 and the width is W=5
the area will be: A=L%2AW
A=12%2A5
A=60