Area of the shape = 26.75 units²
Solution:
Base of the small triangle = 2 units
Height of the small triangle = 2 units
Area of the small triangle = [tex]\frac{1}{2}bh[/tex]
[tex]$=\frac{1}{2}\times2\times2[/tex]
Area of the small triangle = 2 units²
Base of the medium triangle = 5 units
Height of the medium triangle = 2 units
Area of the medium triangle = [tex]\frac{1}{2}bh[/tex]
[tex]$=\frac{1}{2}\times5\times2[/tex]
Area of the medium triangle = 5 units²
Side length of the square = 2 units
Area of the square = side × side
= 2 × 2
Area of the square = 4 units²
Base of the large triangle = 2 + 2 + 5 = 9 units
Height of the large triangle = 3.5 units
Area of the large triangle = [tex]\frac{1}{2}bh[/tex]
[tex]$=\frac{1}{2}\times9\times3.5[/tex]
Area of the large triangle = 15.75 units²
Area of the shape = Area of the small triangle + Area of medium triangle
+ Area of square + Area of large triangle
= 2 units² + 5 units² + 4 units² + 15.75 units²
= 26.75 units²
Area of the shape = 26.75 units²
