Answer:
Area of the shape is 21 m².
Step-by-step explanation:
From the given figure it is clear that the figure contains one square with edge 3 m and 4 congruent triangles with base 3 m and height 2 m.
The area of a square is
[tex]A=a^2[/tex]
[tex]A_1=(3)^2=9[/tex]
The area of square is 9 m².
The area of a triangle is
[tex]A=\frac{1}{2}\times base \times height[/tex]
The area of a triangle whose base is 3 m and height 2 m is
[tex]A=\frac{1}{2}\times 3 \times 2=3[/tex]
The area of a triangle is 3 m². So, the area of 4 triangles is
[tex]A_2=4 \times A=4\times 3=12[/tex]
The area of 4 triangles is 12 m².
The area of shape is
[tex]A=A_1+A_2=9+12=21[/tex]
Therefore the area of the shape is 21 m².
