Give each trig ratio as a fraction in simplest form

38 square feet of outdoor carpet is needed for this hole.

Step-by-step explanation:

Step 1:

To calculate the area of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a rectangle and two triangles.

If we can calculate the individual areas of the three shapes we should be able to calculate the area of the composite shape.

Step 2:

The rectangle has a length of 8 feet and a width of 3 feet. The area of a rectangle is the product of its length and its width.

The area of the rectangle

The area of the rectangle is 24 square feet.

Step 3:

The area of a triangle

The upper triangle has a base length of feet and a height of 3 feet.

The area of the upper triangle

The area of the upper triangle is 6 square feet.

The lower triangle has a base length of feet and a height of 4 feet.

The area of the lower triangle

The area of the lower triangle is 8 square feet.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the rectangle and the two triangles

Area of the figure

So 38 square feet of outdoor carpet is needed for this hole.