A rectangular board is to be cut along the diagonal and the pieces arranged to form an equilateral triangle.The sides of the triangle must be 50 cm.What should be the length and breadth of the rectangle?
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perimeter of rec.== perimeter of triangle
150 = 2(l+b)
l+b= 75 =l= 75- b.......(1)
root3/4×50×50 =l×b
l×b= 625root3
(75-b)×b- 625 root3=0
75b-b^2 -625root3
b^2-75b+ 625root3=0
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Answer:
breadth=16.3333
length =12.5
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