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Explanation:
AB = 9 m
BC = 40 m
i) Let the length of AC be x
the ∆ABC is a right angled triangle.
So,
AC is the hypotenuse of triangle
AC² = AB² + BC²
AC² = 9² + 40²
AC =√1681
AC = 41 m
ii)
Let two semicircles in the figure be one full circle.
radius r = 9/2 = 4.5 m
circumference= 2 π r
= 2 × 3.14 × 4.5
= 28.26 m
perimeter of the given figure= 28.26 + 2 × 40
= 28.26 + 80
= 108.26m
cost of fencing per metre = 2 rupees
cost of fencing 108.26 metres = 108.26 × 2
= 216.52 rupees
iii)
area of the shaded portion :
Let two semicircles in the figure be one full circle.
area of the circle = π r²
= 3.14 × 4.5 × 4.5
= 3.14 × 20.25
= 63.545 m²
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