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.

Answer 1

Draw CE || DA and DC || AE in such a way that AD = 13 m, and DC = 10 m. 

=> ADCE is a parallelogram. 

=> AD || CE and DC || AE and AD = 13 m, DC = 10 m 

∴ AE = DC = 10 m, CE = AD = 13 m 

=> BE = AB – AE = 25 – 10 = 15 m 

In ∆BCE 

BC = 14 m, CE =13 m, BE = 15 m

Area of trapezium ABCD = Area of parallelogram + ar (∆BCE) 

= (112 + 84)m² = 196 m² 

Area of trapezium ABCD = 196 m²