The diagonal of a rectangle is 1meter more than its length and breadth is 1meter less than its length. Find length and breadth
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Let the length be L.
so,
(l +1 )^2 = l^2 + ( l - 1)^2
l^2 + 1 + 2l = l^2 + l^2 + 1 - 2l
l^2 + 4l = 0
l ( l + 4) = 0
l = 0 or l + 4 =0
l = -4
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