Respuesta :

Answer:

You'll need [tex]36\ ft^{2}[/tex] of outdoor carpet for this hole

Step-by-step explanation:

we know that

The area of the outdoor carpet is equal to the area of the triangle minus the area of the rectangle

step 1

Find the area of the rectangle

The area of rectangle is equal to

[tex]A=bh[/tex]

we have

[tex]b=3\ ft[/tex]

[tex]h=2\ ft[/tex]

Calculate the area

[tex]A=(3)(2)=6\ ft^{2}[/tex]

step 2

Find the area of the triangle

[tex]A=(1/2)bh[/tex]

we have

[tex]b=12\ ft[/tex]

[tex]h=7\ ft[/tex]

Calculate the area

[tex]A=(1/2)(12)(7)=42\ ft^{2}[/tex]

step 3

Find the difference

[tex]42\ ft^{2}-6\ ft^{2}=36\ ft^{2}[/tex]

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