Question

ABCD is a field in the shape of a trapezium whose parallel sides are 100m and 40m and the non-parallel sides are 56m and 52m. Find the cost of ploughing the field at Rs.7.50 per sq.m.​

Answer 1

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.

Construction: 

⇒Draw BE∥AD such that D−E−C

⇒Draw BM⊥DC such that D−E−M−C

□ABED is parallelogram,

⇒AD=BE=13  m

⇒AB=DE=10  m

⇒BC=14  m

⇒DC=DE+EC   ....(∵D−E−C)

∴EC=25−10

∴EC=15  m

⇒In ΔBEC

⇒2S=13+14+15

⇒S=21  m

⇒Area of △BEC

⇒A=s(s−a)(s−b)(s−c)  

=21(21−13)(21−14)(21−15)