Question

The area of a Trapezium is 900 square CM .The distance between the parallel sides is 24 cm. If one of the parallel sides is double the other, find the length of the two sides.

Answer 1

Answer:

Step-by-step explanation:

Let length of first side =x

Length of second side=2x

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

1/2(x+2x) ×24=900

3x×24=900×2

3x=1800/24

3x=75

X=25

Length of first side=25

Length of second side =2×25=50

Answer 2

Dear Student,

● Answer -

a = 25 cm

b = 50 cm

● Explaination -

Given that area of a Trapezium is 900 sq.cm.

A = 900 sq.cm

h = 24 cm

Also given,

b = 2a

Area of trapezium is -

A = (a+b)h/2

900 = (a+2a) × 24/2

3a = 900 / 12

3a = 75

a = 25 cm

So other side is -

b = 2a

b = 2×25

b = 50 cm

Hence, opposite sides of trapezium are 25 cm and 50 cm.

Hope this helps you...