Question

The area of trapezium is 540 cm2 and the altitude is 18cm. If one of

the parallel sides is 12cm longer than the other. Find the length of

both the parallel sides.​

Answer 1

$\red{☆Question➡}$ The area of trapezium is 540 cm2 and the altitude is 18cm. If one of the parallel sides is 12cm longer than the other. Find the length of

both the parallel sides.

$\blue{☆AnsweR⬇⬇}$

Area = 540 cm

Altitude = 18cm

Let one parallel side be x cm and other be (x + 12)cm

According to qu.

1/2 × (sum of parallel sides) × h = 540

1/2 × (x + x + 12) × 18 = 540

2x + 12 × 9 = 540

2x + 12 = 540/9

2x + 12 = 60

2x = 60-12

2x = 48

x = 24 cm

.°. One side = 24cm

Other side = 36cm

$\green{✤✤-Hope~it~helps-✤✤}$

Answer 2

Answer:

Area = 540 cm

Altitude = 18cm

Let one parallel side be x cm and other be (x + 12)cm

According to Questions:

1/2 × (sum of parallel sides) × h = 540

1/2 × (sum of parallel sides) × h = 5401/2 × (x + x + 12) × 18 = 540

=> 2x + 12 × 9 = 540

=> 2x + 12 = 540/9

=> 2x + 12 = 60

=> 2x = 60-12

=> 2x = 48

=> x = 24 cm

One side = 24cm

Other side = 36cm