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:
[tex] \frac{1}{2} \times base \times height[/tex]
1) area of triangle AED
base = 12 cm
height = 4.5 cm
area:
[tex] \frac{1}{2} \times 12 \times 4.5 = 27 {cm}^{2} [/tex]
area of rectangle formula:
[tex]length \times height[/tex]
2) area of rectangle ABCD
length = 12cm
height = 5 cm
area:
[tex]12 \times 5 = 60 \: cm {}^{2} [/tex]
3) area of whole polygon
= area of triangle AED + area of rectangle ABCD
= 27 cm² + 60 cm²
= 87 cm²
