Question

The area of a trapezium is 34cm² and the length of one of the parallel side is 10cm and it's height is 4cm. Find the length of the other parallel side.​

Answer 1

Area of Trapezium = (1/2)*h*(a + b)

Where

h = height of trapezium

a & b are the lengths of parallel sides.

Given:

Area of trapezium = 34 sq cm

Height of trapezium, h = 4 cm

Length of one parallel side, a = 10 cm

To Find:

Length of another parallel side, b = ?

34 = (1/2)*4*(10 + b)

34 = 2*(10 + b)

17 = 10 + b

b = 17 - 10 = 7 cm