Question

The parallel sides of a
trapezium are in the ratio 3:4
and the perpendicular distance
between them is 12cm. If the
area of trapezium is 630cm?,
then its shorter of the parallel
sides is_____.​

Answer 1

Answer:

45 cm

Step-by-step explanation:

Let the ratio be 3x:4x.

Perpendicular distance = 12 cm

Area = 1/2 × (Sum of parallel sides) × Height

Given area of trapezium = 630 cm²

=> 630 = 1/2 × (3x+4x) × 12

=> 1260 = (7x) × 12

=> x = 1260/84

=> x = 15

Hence, shorter side = 3 (15) cm = 45 cm