Answer:
170ft^2
Step-by-step explanation:
We need to find the areas of the partitioned areas and then add them to get the total area of the complex figure.
The area of the rectangle can be found by A = lw
The area of the triangle can be found by A = (1/2)*bh
We have already been given the length of the rectangle.
The base of the triangle is 22ft - 12ft = 10ft.
Since this is a 45-45-90 triangle, we can also say that the dashed line is also 10ft long, and this also represents the width of the rectangle.
This means that the height of the triangle and the width of the rectangle are both 10ft.
Area of rectangle = lw
A = 12ft * 10ft
A = 120ft^2
Area of triangle = (1/2)*bh
A = (1/2) * 10ft * 10ft
A = (1/2) * 100ft^2
A = 50ft^2
The total area of the figure is 120ft^2 + 50ft^2 = 170ft^2.
