If the ratio of shorter side to the longer side of a rectangle is equal to the ratio of longer side to its diagonal 'then the square of the ratio of the shorter side to the longer side (a)
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Answer:
Let L and B be the length and breadth of the rectangle.
Sum of adjacent sides = L + B
Length of diagonal = √(L2+B2)
According to the question,
(L + B) - √(L2+B2) = L/2
L/2 + B = √(L2+B2)
L + 2B = 2√(L2+B2)
L2 + 4B2 + 4LB = 4L2 + 4B2
4B = 3L or B/L = 3/4
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I have done it on paper please see the attachment.
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