Answer:
42 ft²
Step-by-step explanation:
First of all, who makes a hole in this shape?
Anyways,
You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.
We can find the area of the triangle easily with the equation 1/2(bh)
So
1/2(2 · 3)
1/2(6)
3
So the triangle is 3 ft²
Now we can find the area of the rectangle.
The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²
Finally the trapezoid.
Base 1: 6
Base 2: 3
Height: 4 (11-7)
Formula: 1/2h (b1 + b2)
1/2 · 4 (6+3)
2(9)
18 ft²
Now just add them together:
3+21+18=42
Hence, your answer is 42 ft²
