Question

The area of a trapezium is 182 cm2
. Its height is 12cm. One of the parallel sides is

shorter than the other side by 10cm. Find the length of each of the parallel sides. ​

Answer 1

Step-by-step explanation:

Given Area of Trapezium=182cm

2

,h=14cm

Let the upper parallel side be x

other side =x+16 cm

Area of Trapezium =

2

1

h(a+b) where a and b are the parallel sides

∴182=

2

1

×14(x+x+16)

⇒182=7(2x+16)

⇒182=14(x+8)

⇒(x+8)=

14

182

=13

⇒x=13−8=5

∴ the shorter parallel side=5cm and the base of the Trapezium =5+16=21cm