Question

a parallelogram is drawn in a Trapezium the area of parallelogram is 80 CM square metre then find the area of trapezium​

Answer 1

Answer:

area of trapezium is 120 CM square

Answer 2

Answer:

The Area of Trapezium is 128 cm² .

Step-by-step explanation:

Given as :

A parallelogram is drawn in Trapezium

The Area of parallelogram = 80 cm²

Let The Area of Trapezium = A cm²

According to question

Area of parallelogram = Base × height

Or, base × height = 80 cm²

From figure

base of parallelogram = 10 cm

So, Height = $\dfrac{Area}{base}$

Or, h = $\dfrac{80}{10}$

∴ height of parallelogram = h = 8 cm

Again

A parallelogram is drawn in Trapezium

∵ Area of Trapezium = $\dfrac{1}{2}$ × (sum of parallel sides) × height

∵ Trapezium height = parallelogram height

So,  Area of Trapezium = $\dfrac{1}{2}$ × (10 + 22) × 8

Or,  Area of Trapezium = $\dfrac{1}{2}$ × 32 × 8

Or,  Area of Trapezium = 16 × 8

Or,  Area of Trapezium = 128 cm²

Hence, The Area of Trapezium is 128 cm² . Answer