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How many square feet of outdoor carpet are needed for this hole

How many square feet of outdoor carpet are needed for this hole-example-1
User Nagul
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The area of a rectangle is:


Ar=l\cdot h

Where:

Ar = area of the rectangle

l = lenght

w = width

And the area of a triangle is:


At=(1)/(2)\cdot b\cdot h

Where:

At = area of the triangle

b = base

h = height

To solve this problem divide the figure into triangles and rectangles, according to the figure below.

And the square feed (A) needed will be:

A = A1 - A2 + A3 + A4 + A5

Step 01: Calculate A1.

Figure 1 is a rectangle with sides 5 and 6 ft.


\begin{gathered} A1=5\cdot6 \\ A1=30ft^2 \end{gathered}

Step 02: Calculate A2.

Figure2 is a rectangle with sides 2 and 3 ft.


\begin{gathered} A2=2\cdot6 \\ A2=6ft^2 \end{gathered}

Step 03: Calculate A3.

Figure 3 is a triangle with base 4 (12 - 6 - 2 = 4) and height 3 ft.


\begin{gathered} A3=(4\cdot3)/(2) \\ A3=(12)/(2) \\ A3=6ft^2 \end{gathered}

Step 04: Calculate A4.

Figure 4 is a rectangle with sides 4 (12 - 6 - 2 = 4) and 2 (5 - 3 = 2) ft.


\begin{gathered} A4=4\cdot2 \\ A4=8ft^2 \end{gathered}

Step 05: Calculate A5.

Figure 5 is a rectangle with sides 2 and 5 ft.


\begin{gathered} A4=2\cdot5 \\ A4=10ft^2 \end{gathered}

Step 06: Find the area of the figure.

A = A1 - A2 + A3 + A4 + A5.


\begin{gathered} A=30-6+6+8+10 \\ A=48ft^2 \end{gathered}

Answer: 48 ft² is needed for this hole.

How many square feet of outdoor carpet are needed for this hole-example-1
User Ajduke
by
8.0k points

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