Question

The lengths of the sides of a cyclic quadrangular field are 72 m, 154 m, 150 m, and 80 m. Find the costof watering at the rate of 50 per 100 sq.m.
please answer according to class 9 . ​

Answer 1

Answer:

Here a=72m, b=154m, c=80m and d=150m

s=2a+b+c+d

s=272+154+80+150

s=2456=228m

∴ Area of ground which is in the form of cyclic quadrilateral.

=(s−a)(s−b)(s−c)(s−d)

=(228−72)(228−154)(228−80)(228−150)

=156×74×148×78

=78×74×4

=11,544sq.m.

∵ Cost of paving the tiles on the ground 1sq.m is Rs 5.

∴ Cost of paving the tiles on the ground 11,544sq.m  is  11,544×5=Rs57,720.

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