SSC Selection Post 2020 PYQ — Question 62

SSC Selection Post - Higher Secondary Level 2020 - 10 Nov 2020 - Shift 2 • Quantitative Aptitude • Q62

The parallel sides of a trapezium are 30 cm and 20 cm and its non-parallel sides are both equal. If the area of the trapezium is 300 cm², then what is the length (in cm) of each non-parallel side?
 

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 13.

Area = ½ × (30 + 20) × h = 300 → h = 12 cm
Half difference of bases = (30 − 20)/2 = 5 cm
Non-parallel side = √(12² + 5²) = √169 = 13 cm