Question

The area of a trapezium is 180 sq. cm and its height is 9 cm. If one of the parallel sides is longer

than the other by 6 cm, find the length of the parallel sides.​

Answer 1

Answer:

48 is the correct answer

Step-by-step explanation:

area = 1/2 h ( a+b)

180= 1/2 ×9× a +a+6

180 = 9 ( 2a+6)

90 = 2a +6

84=2a

a = 42

longer sides a+6=42 + 6 = 48

Answer 2

Area=

2

1

​

h(a+b)

200=

2

1

​

×8×(a+a+6)

200=4(2a+6)

50=2a+6

44=2a

a=22 cm

Longer side a+6=28 cm