SSC MTS 2022 PYQ — Question 70

SSC MTS - 25 July 2022 - Shift 2 • Quantitative Aptitude • Q70

Area of a trapezium is 480 cm2. The length of one of the parallel sides is 24 cm and the distance between the parallel sides is 8 cm. Find the length of the other parallel side.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 96 cm

One of the parallel sides = 24 cm

Let the length of the other parallel sides be 'x' cm

Also, the area of the trapezium = 480 cm²

Distance between the parallel sides = 8 cm

 So , Area of a trapezium = 1/2(a + b) × h

∴ 480 = 1/2 × (24 + x) × 8

⇒ 480 = 96 + 4x

480 - 96 = 4x

⇒ 4x = 384

⇒ x = 384/4 = 96 cm