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.

Step-by-step 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 = $\frac{1}{2} (base length)(height).$

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 = $\frac{1}{2} (base length)(height) = \frac{1}{2} (4)(3)= 6$ 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.