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 square metre ?​

Answer 1

Step-by-step explanation:

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)

=21×8×7×6

=84  m2

⇒Area of ΔBCE=21×BM×EC

⇒