Question

The area of a trapezium is 150 cm2cm2 and its height is 12 cm. If one of the parallel side is two-third the other side, find the two parallel sides.​

Answer 1

|| Answer ||

➡️ One side = 15 cm

➡️ Other side = 10 cm

|| Solution ||

Let the parallel side be x,

Other parallel side = 2x / 3

▪️ To find :-

Other parallel side of trapezium

▪️ Given :-

• Area = 150 cm²

• Height = 12 cm

▪️ According to question :-

↪️️ Area of trapezium = 1/2 × height × (Sum of parallel sides)

↪️ 150 = 1/2 × 12 × (x + 2x /3)

↪️ 150 = 1/2 × 12 × (x + 2x /3)

↪️ 150 = 6x + 4x

↪️ 150 = 10x

↪️ x = 15 cm

▪️ Check :-

= Area of trapezium = 1/2 × 12 × (15 + 10)

= Area of trapezium = 6 × 25

= Area of trapezium = 150 cm²