By comparing the figure with simpler shapes (rectangles and triangles) we will see that its area is 30ft^2.
How to get the area?
The area of the figure will be equal to the difference between the area of a 5ft by 10 ft rectangle, and the area of the 3 triangles that can be formed.
The area of a 5ft by 10ft rectangle is:
A = 5ft*10ft = 50ft^2
For the 3 triangles we have:
2 triangles with a base of 5ft - 3ft = 2ft, and a height of 10ft/2 = 5ft.
(these are the two left triangles).
Remember that for a triangle of base b and height h, the area:
A = b*h/2
Then for each of these triangles, the area is:
A' = (2ft*5ft)/2 = 5ft^2
And we have two of these, so the areas add up to 10ft^2.
For the right triangle, we can see that its base measures 10 ft, and its height is of 2 ft, then its area is:
A'' = (10ft*2ft)/2 = 10ft^2
Then the area of the figure is:
Area = A - 2A' - A'' = 50ft^2 - 2*(5ft^2) - 10ft^2 = 30ft^2
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
