A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non

parallel sides are 14 m and 13 m. Find the area of the field.

Question

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

Accepted Answer

First draw a line segment BE parallel to the line AD Then from B draw a perpendicular on the line segment CD Now it can be seen that the quadrilateral ABED is a parallelogram So AB ED 10 m AD BE 13 m EC 25 ED 25 10 15 m Now consider the triangle BEC Its semi perimeter s 13 14 152 21 m By using Herons formula Area of BEC

NCERT Solutions Class 9 Mathematics Solutions for Heron’s Formula - Exercise 12.2 in Chapter 12 - Heron’s Formula