The area of the shape is 35 cm².
Solution:
Base of the triangle = 4 cm + 4 cm = 8 cm
Height of the triangle = 5.75 cm
Area of the triangle = [tex]\frac{1}{2}\ bh[/tex]
[tex]$=\frac{1}{2}\times8\times5.75[/tex]
= 23 cm²
Area of the triangle = 23 cm²
Top base of the trapezoid = 4 cm
Bottom base of the trapezoid = 8 cm
Height of the trapezoid = 2 cm
Area of the trapezoid = [tex]\frac{1}{2}\times\text{sum of the parallel sides} \times\text{Height}[/tex]
[tex]$=\frac{1}{2}\times(4+8) \times2[/tex]
[tex]$=\frac{1}{2}\times 12\times2[/tex]
= 12 cm²
Area of the trapezoid = 12 cm²
Area of the shape = 23 cm² + 12 cm²
= 35 cm²
Hence the area of the shape is 35 cm².
