Question

The area of a trapezium is 72 cm square. The length of one of the parallel sides is 10 cm and the height is 12 cm. Find
the length of the other parallel side.

Answer 1

Step-by-step explanation:

Given,

Area of a trapezium = 72 $cm^{2}$

One parallel side = 10 cm

Height of the trapezium = 12 cm

∴ By the problem,

=> $\frac{1}{2}$ (a+b) × h = 72 $cm^{2}$

=> $\frac{1}{2}$ (10+b) × 12 = 72

=> (10 + b)  × 6 = 72

=> 10 + b = $\frac{72}{6}$

=> 10 + b = 12

=> b = 12 - 10

       = 2

Hence, the length of another parallel side is 2 cm (Ans)