Question

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

Answer 1

I say 8 is the answer.

Proof:

`3 + 2 + 3 = 8`

So 8ft is my answer.

Answer 2

36 square feet outdoor carpet will be required for this hole.

Explanation:

A triangle colored in green with a rectangular hole has been given in the figure.

Area of the outdoor carpet will be calculated by the expression,

Area of the carpet = Area of the right triangle - Area of the rectangle removed from the triangle

Area of the right triangle =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)* (12)* (7)`

= 42 square ft

Area of the rectangle = Length × Width

= 3×2

= 6 square ft

Area of the remaining area to be covered with the carpet = 42 - 6

= 36 square feet

Therefore, area of the outdoor carpet required for the hole = 36 feet²