Question

find the area of the polygon given below​

Answer 1

Answer:

425cm^2ans.........

Answer 2

The total area of the polygon is 425 cm².

Step-by-step explanation:

The polygon consists of two trapeziums, the upper and lower trapezium.

Now, the area of a trapezium = $\frac{1}{2}\times (\textrm {Sum of the two parallel sides})\times (\textrm {Height})$

So, the area of the upper triangle = $\frac{1}{2}\times (20 + 30)\times 10 = 250$ cm²

And the area of the lower triangle = $\frac{1}{2}\times (5 + 30)\times 10 = 175$ cm²

Therefore, the total area of the polygon is (250 + 175) = 425 cm². (Answer)