Question

Find the area of the composite function and explain how you broke the shape intopieces to find the area.15 mm8 mm10 mm30 mmYou may use the Equation Editor to answer this question. To access the EquationEditor button √x, you may need to select click the Show More Components:button.

Answer 1

Given the following question:

In order to find the area of any composite figure, you have to seperate the figure into shapes we know we can find the area of.

In this case we can seperate the figure into two rectangles, and one square.

Now we can first find the area of the square:

`\begin{gathered} A=s^2 \\ s=8 \\ A=8^2=8*8=64 \\ A=64 \end{gathered}`

Now find the area of each rectangle.

If each of the sides of the square is equal to 8, to find the length of the rectange we must subtract 8 from 30, speaking how 30 was the full length before we seperated each shape.

30 - 8 = 22

Area of a rectangle = base times height

b = 22

h = 15

`22*15=330`

Since we have two rectangles, we will have another 330.

Now we add all areas together:

`330+330+64=724`

The total area of this figure is "724 mm^2."