Maths question from Naib Tehsildar exam, 2018 by JKSSB
Area of trapezium is 500 sq. cm. Length of one of the parallel sides is 20 cm and the distance between the parallel sides is 10 cm then the length of other parallel side is
Last updated May 15, 2026
Correct Answer:
Option A —
80 cm
To find the length of the missing side, we use the standard formula for the area of a trapezium.
The Formula:
The area (A) of a trapezium is given by:
A = 1\2 times (a + b) times h
Where: a and b are the lengths of the two parallel sides. h is the height (the perpendicular distance between the parallel sides).
Step-by-Step Calculation:
1. Plug in the known values:
Area (A) = 500{ sq. cm}
Side 1 (a) = 20{ cm}
Distance (h) = 10{ cm}
Side 2 (b) = ?
500 ={1}\{2} times (20 + b) times 10
2. Simplify the equation:
First, divide 10 by 2:
500 = (20 + b) times 5
3. Solve for b:
Divide both sides by 5:
100 = 20 + b
Subtract 20 from both sides: b = 100 - 20
b = 80cm
Final Result: The length of the other parallel side is 80cm
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
