the cross section of tunnel is in the shape of semicircle surmounted on the longer side of rectangle whose shorter side measures 6 m. if the perimeter of cross section is 66 m find height and breadth of tunnel
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Answer:
let 2L be the longer side of the rectangle which is the diameter of the semicircle.
So circumference of semi circle with radius L is 22/7 * L
Perimeter of the given shape = 22/7 * L + 6 + 2 L + 6
This is given as 66 m
So equating we can find the value of L = 10.5 m
Hence height of the tunnel = 10.5 + 6 = 16.5 m
Breadth of the tunnel = 21 m
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