SOLUTION: a diagonal of a rectangle is 3 in longer than a side of the square. Find the length of a side and the length of a diagonal.

Question 24373: a diagonal of a rectangle is 3 in longer than a side of the square. Find the length of a side and the length of a diagonal.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
diagonal of a rectangle is 3 in longer than a side of the square. Find the length of a side and the length of a diagonal.
LET SIDE OF SQUARE =X
DIAGONAL LENGTH =X+3
IN A SQUARE WE HAVE FROM PYTHOGARUS THEOREM
SIDE^2+SIDE^2=DIAGONAL^2
X^2+X^2=(X+3)^2=X^2+9+6X
2X^2-X^2-9-6X=0
X^2-6X-9=0

HENCE SIDE =AND DIAGONAL IS
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