Question

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 1

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