Question

1. The lengths of the parallel sides of a trapezium are in the ratio 4:7. If the
of trapezium is 14 m and its area is 385 sq. m, find the length of its parallel sides. ​

Answer 1

Answer:

length of sides are 20 and 35

Answer 2

Answer:

Let the parallel sides of the trapezium be 4x and 7x.

The area of the trapezium = 385 sq m.

Height of the trapezium = 14 m.

Area = (4x+7x)*14/2 = 385, or

11x*14 = 770, or

11x = 770/14 = 55, or

x = 5 m.

Hence the parallel sides are 20 m and 35 m in length.