Answer:
28 ft²
Step-by-step explanation:
Hello There!
To solve for the area of an irregular shape we want to split the irregular shape into regular shapes
For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)
now we can easily solve for the area of each individual shape
area of square -
the area of a square can simply be found by raising the side length to the power of 2
so
so we can conclude that the area of the square is 4ft^2
Now we want to find the area of the rectangle
the area of a rectangle is simply equal to the width times the length
so
so we can conclude that the area of the rectangle is 24ft^2
Finally we add the two areas together
24 + 4 = 28
thus meaning the area of the irregular figure is 28 ft²