Question

A field is in the shape of a trapezium whose parallel sides are 50 m and 15 m. If its non - parallel sides are 20 m and 25 m, prove that the area of trapezium is 1300 square root 6/7m².

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

Answer:

divide the question also