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Answer:
130.5ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure ( so we can't find the area of it using one formula )
That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula
The figure would be broken in to the following shapes
A rectangle with a width of 4 ft and a length of 9 ft
A rectangle with a width of 8 ft and a length of 9 ft
A triangle with a height of 5 ft and a base of 9 ft
Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape
For the smaller rectangle:
The area of a rectangle can simply be calculated by multiplying the width and length
So A = 9 * 4
9 * 4 = 36
so the area of the smaller rectangle is 36ft²
For the larger rectangle
Once again the area can simply be found by multiplying the width and length
A = 8 * 9
8 * 9 = 72
so the area of the larger rectangle is 72ft²
For the triangle
To find the area of a triangle we want to use this formula
where b = base and h = height
We have already identified the base and height so all we have to do is plug in the values into the formula
so the area of the triangle is 22.5ft²
Finally we add the areas of each regular figure
22.5 + 72 + 36 = 130.5
so we can conclude that the area of the composite figure is 130.5ft²