The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm2, then find the length of each of the parallel sides (in cm).
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 1 i.e. 29, 17
Let the parallel sides of a trapezium be x and y cm.
Given that
x - y = 12 ........(1
The area of the trapezium is 1380 cm2
The area of the trapezium = 1/2 (The Sum of the parallel sides) × Distance between them
1380 = 1/2 × 60 (x + y)
x + y = 46 ..........(2
After solving equations 1 and 2
The parallel sides are x = 29 cm and y = 17cm