1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Parallel sides of a trapezium are in the ratio 2:3 and if its height is half the length of smaller parallel side, then find the lengths of parallel sides if area of the trapezium is 40 cm2.

A
4 cm, 6 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
6 cm, 9 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
8 cm, 12 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
10 cm, 15 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 8 cm, 12 cmLet lenght of the larger parallel side's length be 3x and the length of the smaller parallel side be 2x Height = 2x2 = x Area of trapezium = 12×(sum of parallel sides)×height 40 = 12×(sum of parallel sides)×height 40 = 12×(2x+3x)×x 40 = 12×(5x)×x 40×25 = 16 = x2 x = √16 = 4 Length of the larger parallel side = 3y = 3(4)= 12 cm Length of the smaller parallel side = 2y = 2(4)= 8 cm

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Area of Trapezium
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program