Question

A field is in the shape of a trapezium whose parallel sides are 25m
and 10m. The non-parallel sides are 14m and 13m. Find the area
of the field.
​

Answer 1

Answer:

A field is in the shape of a trapezium whose parallel sides are 25m

and 10m. The non-parallel sides are 14m and 13m. Find the area

of the field.

Answer 2

Answer:

Draw a line BE parallel to AD and draw a perpendicular BF on CD

it can be observe that ABED is a parallelogram

BE=AD=13m

ED=AB=10m

EC=25-ED=15m

for ΔBEC

semi perimeter S=13+14+15/2m

42/2=21

By heron formula

Area of Δ √s(s-a) (s-b) (s-c)

Area of ΔABEC= √21 (21-13)(21-14)(21-15)m²

[√21(8)(7)(6)]m²

=84m²

Area of Δ BEC =½x CE x BF

=84=12x15xBF

BF=16815=11.2m

Area of the field = 84+112=196m2

Step-by-step explanation: