Question
Length and breadth of a rectangle are 8 cm and 6 cm
respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?Solution
Let the side of octagon is x Apply PGT x2 = (6 – x / 2)2 + (8 – x / 2)2 x2 = (36 + x2 – 12x + 64 + x2 – 16x / 4) 4x2 = 100 + 2x2 – 28x = 2x2 + 28x + 100 = 0 = x2 + 14x + 50 = 0 X = 3√11 – 7 cm
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