Question

How many square feet of outdoor carpet will we need for this hole

Answer 1

You'll need
`36\ ft^(2)` of outdoor carpet for this hole

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

`A=bh`

we have

`b=3\ ft`

`h=2\ ft`

Calculate the area

`A=(3)(2)=6\ ft^(2)`

step 2

Find the area of the triangle

`A=(1/2)bh`

we have

`b=12\ ft`

`h=7\ ft`

Calculate the area

`A=(1/2)(12)(7)=42\ ft^(2)`

step 3

Find the difference

`42\ ft^(2)-6\ ft^(2)=36\ ft^(2)`