Hi there!
[tex]\large\boxed{66.5cm^2}[/tex]
We can break this composite shape into a trapezoid and a rectangle:
Recall the following formulas:
Rectangle: l × w
Trapezoid: 1/2(b₁ + b₂)·h
We can begin by finding the area of the rectangle:
7 × 5 = 35 cm²
Find the trapezoid's area by identifying the sides:
The first base is given, and is 5 cm.
The second base is equivalent to 9 - 7 = 2 cm.
The height is 4 + 5 = 9 cm.
Plug these values into the equation:
1/2(5 + 2) · 9 = 31.5
Add the two areas together:
35 + 31.5 = 66.5 cm²
