Question

Find the total are of the adjoining polygon ​

Answer 1

Given :

• A polygon

To Find :

• Total area of the given polygon.

Using the formula :

( Area of the given polygon) = (area of ∆ABC) + (area of the rectangle EFGH)

$\sf{{ \: :⟼ \: \frac{1}{2} (BC × AD) + BE × BC + \frac{1}{2} (EF + HG) × LM }{ \: }}$

$\sf{{ \::⟼ \: \frac{1}{2} (BD + DC) × AD + BE × (BD + DC) + \frac{1}{2} (BC + HG) × LM }{ \: }}$

$\sf{{ \::⟼ \: \frac{1}{2} (3 + 9) × 7cm² + 15 × (3 + 9) cm² + \frac{1}{2} [(3 + 9) + 20] × 10cm² }{ \: }}$

$\sf{{ \::⟼ \: 42 cm² + 180 cm² + 160 cm² = 382 cm² }{ \: }}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬