Question

How many square feet of outdoor carpet will
we need for this hole?
4 ft
2 ft
4 ft
2 ft
2 ft
2 ft
5 ft

Answer 1

Answer:  $30\ ft^2$

Step-by-step explanation:

The missing figure is attached.

For this exercise you can divide the given figure into three rectangles.

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Knowing this, you can calculate the area of each rectangle.

Then:

Area of the Rectangle A

You can identify that:

$l_A=4\ ft\\w_A=2\ ft$

Then, its area is:

$A_A=(4\ ft)(2\ ft)\\\\A_A=8\ ft^2$

Area of the Rectangle B

Observe that:

$l_B=4\ ft+2\ ft=6\ ft\\w_B=2\ ft$

Then, its area is:

$A_B=(6\ ft)(2\ ft)\\\\A_B=12\ ft^2$

Area of the Rectangle C

You can identify that:

$l_C=5\ ft\\w_C=2\ ft$

Then, its area is:

$A_C=(5\ ft)(2\ ft)\\\\A_C=10\ ft^2$

Add the area of the rectangles in order to find the total area. This is:

$Total=8\ ft^2+12\ ft^2+10\ ft^2\\\\Total=30\ ft^2$

Therefore, you will need $30\ ft^2$ of  outdoor carpet for that hole.