Question

The area of a trapezium is 180 sq. cm. One of its parallel side is 8 cm and distance between parallel sides is 10 cm then the length of other parallel side is :​

Answer 1

Answer:

LENGTH OF SECOND PARALLEL SIDE IS 28cm

Step-by-step explanation:

PARAMETERS GIVEN,

AREA OF TRAPEZIUM=180cm²

LENGTH OF ONE PARALLEL SIDE=8cm

HEIGHT=10cm

SO,

LET THE LENGTH OF SECOND PARALLEL SIDE BE x

SO,

A.T.Q.,

AREA=1/2(HEIGHT)(a+b)

180cm²=1/2(10cm)(8cm+x)

180cm²5cm(8cm+x)

180cm²/5cm=(8cm+x)

36cm=(8cm+x)

x=36cm-8cm

x=28cm

I HOPE YOU UNDERSTOOD THE QUESTION!!!