Q5 of 27 Page 218

Find the area of each of the following fields. All dimensions are in metres.

As we know that,


And we have 3 triangles here, namely, Δ DEI, Δ DHC, Δ FGA


Therefore,




⇒ Ar(Δ DEI) = 1200 sq. m


Similarly,




⇒ Ar(Δ DHC) = 1600 sq.m


And,




⇒ Ar(Δ FGA) = 1250 sq. m


Also, there are two trapeziums, namely, EIGF and ABCH




⇒ Ar(EIGF) = 3850 sq.m


Also,



⇒ Ar(ABCH) = 2800 sq.m


Now, the area of the given figure is equal to the sum of the individual areas of triangles and trapeziums.


⇒ Req. area = Ar(Δ DEI) + Ar(Δ DHC) + Ar(Δ FGA) + Ar(EIGF) + Ar(ABCH)


⇒ Req. area = 1200 + 1600 + 1250 + 3850 + 2800


⇒ Req. area = 10700 sq.m


∴ the area of the given figure is 10700 sq.m


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