SOLUTION: The longer side of a rectangle is double the length of the shorter side. If the length of the diagonal is 10 cm, find the dimensions of the rectangle

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Question 799012: The longer side of a rectangle is double the length of the shorter side. If the length of the diagonal is 10 cm, find the dimensions of the rectangle
Answer by Finavon(81) About Me  (Show Source):
You can put this solution on YOUR website!
sides l and 2l
+diagonal%5E2+=+l%5E2+%2B+4%2Al%5E2+=+100+
so +5%2Al%5E2+=+100+
+l%5E2+=+20+=+4%2A5
and +l+=+2%2Asqrt%285%29+
rectangle is +2%2Asqrt%285%29+ by +4%2Asqrt%285%29+

+diagonal=sqrt%28%284%2A5%29+%2B+%2816%2A5%29+%29+=+sqrt%2820%2B80%29+=+sqrt%28100%29+=+10+