Question

find the area of the polygon given in the adjoining figure

Answer 1

area of the polygon = ar(AEF) + ar(EDHF) + ar(DHC) + ar(ABC

Answer 2

Mensuration,

We have
Polygon ABCDE

Have to find the area of the polygon.

Here given that
AC = 60 m
BG = 16 m
AF = 16 m
So FH will be = (46 - 16) m = 30 m
and HC will be = (60 - 46) m = 14 m
FE = 24 m
also,DH = 14 m

Now,
Area of the polygon = area of ∆ABC + area of ∆CHD + area of ∆AFE + area of trapezium DEFH.

= [(½ × 60 × 16) + (½ × 14 × 14) + (½ × 16 × 24) + {½ × 30 × (24 + 14)}] m²

= (480 + 98 + 192 + 570) m²

= 1340 m²

So the area of the polygon is 1340 m²

That's it
Hope it helped ❤(ӦｖӦ｡)