Question

the area of a trapezium is 300msquare.The distance between the the parallel sides is 40m.Find the length of the other parallel side​

Answer 1

Answer:

Answer

Area of trapezium is given by

A=

2

1

(a+b)h

If one side is a then the other side is a−16 since the difference of parallel sides is 16

∴ A =

2

1

(a+a−16)×15=300

⇒

2

1

(2a−16)×15=300

⇒(2a−16)×15=600

⇒(2a−16)=40 [By dividing both side by 15]

2a=56

a=28 m

The other parallel side=a−16

a−16=28−16=12

Therefore, the sides are 28m and 12m.