Question

A field is in the shape of trapezium whose parallel sides are 50m and 15m. The non parallel sides are 20m and 25m. Prove that the area of the trapezium is 1300 root 6 divided by 7 m square

Answer 1

It is like your query

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

It can be observed that ABED is a parallelogram.

BE = AD = 13 m

ED = AB = 10 m

EC = 25 − ED = 15 m

For ΔBEC,

Semi-perimeter,

By Heron’s formula,

Area of triangle

Area of ΔBEC

m2= 84 m2

Area of ΔBEC

Area of ABED = BF × DE = 11.2 × 10 = 112 m2

Area of the field = 84 + 112 = 196 m2

Answer 2

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