Question

The area of trapezium is 34cm and its height is 4cm One of the parallel side of the trapezium is 10cm . find the order parallel side​

Answer 1

Answer:

7 cm

Step-by-step explanation:

We know area of trapezium is

Area of Trapezium = 1/2 * (Height of Trapezium) * (Sum of Parallel Sides of Trapezium)

Given,

Area of Trapezium (A) = 34 cm^2

Height of Trapezium (H) = 4 cm

Let one side of the Trapezium be "a" = 10 cm

And the other side to find out be "b"

Now we know

A = 1/2 * H * (a + b)

=> 34 = 1/2 * 4 * (10 + b)

=> 34 = 2 * (10 + b) <=> (10 + b) * 2 = 34

=> (10 + b) = 34/2

=> 10 + b = 17

=> b = 17 - 10

=> b = 7 cm