Question

Find the area of polygon​

Answer 1

Answer:

87 cm²

Step-by-step explanation:

there is 1 triangle and 1 rectangle in the diagram. so you have to find the area of the both polygons and sum up to find the total area of polygon

area of triangle formula:

$\frac{1}{2} \times base \times height$

1) area of triangle AED

base = 12 cm

height = 4.5 cm

area:

$\frac{1}{2} \times 12 \times 4.5 = 27 {cm}^{2}$

area of rectangle formula:

$length \times height$

2) area of rectangle ABCD

length = 12cm

height = 5 cm

area:

$12 \times 5 = 60 \: cm {}^{2}$

3) area of whole polygon

= area of triangle AED + area of rectangle ABCD

= 27 cm² + 60 cm²

= 87 cm²