The two parallel sides and the distance between them are in the ratio

1.	The two parallel sides and the distance between them are in the ratio 3 : 4 : 2. If the area of the trapezium is 175 cm2, find its height.
Answer» Let the two parallel sides and the distance between them be 3x, 4x, 2x cm respectively Area = 1/2 (sum of parallel sides) x (distance between parallel sides) = 1/2 (3x + 4x) x 2x = 175 (given) => 7x x x = 175 => 7x² = 175 => x² = 25 => x = 5 Height i.e. distance between parallel sides = 2x = 2 x 5 = 10 cm

The two parallel sides and the distance between them are in the ratio 3 : 4 : 2. If the area of the trapezium is 175 cm2, find its height.

Answer»

Let the two parallel sides and the distance between them be 3x, 4x, 2x cm respectively

Area = 1/2 (sum of parallel sides) x (distance between parallel sides)

= 1/2 (3x + 4x) x 2x = 175 (given)

=> 7x x x = 175

=> 7x² = 175

=> x² = 25

=> x = 5

Height i.e. distance between parallel sides = 2x = 2 x 5 = 10 cm