Question

How many square feet of outdoor carpet will we nees for thois hole?


please help​

Answer 1

The area of the given shape is 220.24 square units.

Explanation:

Step 1;

Area of given shape = Area of the entire rectangle - Area of the rectangle - Area of the triangle.

The entire rectangle measures a length of 12 feet and a width of 5 feet. The area of any given rectangle is the multiplication of its length and width.

The area of the entire rectangle
`= (12)(5) =60` square feet.

Step 2:

A rectangle with length 2 feet and a width of 3 feet is cut out from the entire rectangle so it is subtracted from the entire rectangle's area.

The area of the small rectangle
`= (length)(width) = (2)(3)=6` square feet.

Step 3:

The area of a triangle =
`(1)/(2) (base length)(height).`

The base length of the triangle
`= 12-(6+2) =12-8 =4` feet and the height of the triangle is 3 feet.

The triangle's area =
`(1)/(2) (base length)(height) = (1)/(2) (4)(3)= 6` square feet.

Step 4:

Area of the given shape =
`60 - 6 - 6 = 48` square feet.

So 48 square feet of outdoor carpet will be needed.