Q11 of 14 Page 119

The shape of a farm is a quadrilateral. Measurements taken of the farm, by naming its corners as P, Q, R, S in order are as follows. l(PQ) = 170 m, l(QR) = 250m, l(RS) = 100 m, l(PS) = 240 m, l(PR) = 260 m.

Find the area of the field in a hectare (1 hectare = 10,000 sq.m)



In PSR,


s = = 300


Ar(PSR) =


=


=


So, Ar(PSR) = 12000 m2


In PQR,


s = = 340


Ar(PQR) =


=


=


So, Ar(PQR) = 20400 m2


Area of PQRS = Ar(PSR) + Ar(PQR)


= 12000 + 20400


Area of PQRS = 32400 m2


1 hectare = 10000 m2


1 m2 = hectare


32400 m2 = hectare


So, 32400 m2 = 3.24 hectare


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