The Rosana family decided to put in a patio and a garden in their backyard.

The next part shows a rectangle with a base of 8 and height of 4. It also has about 1/3 of the rectangle shaded and is labeled "Garden"

I tried multiplying 4 x 8, then dividing by 3, because the triangle looks about 1/3, and got 10.6. I don't know if that is correct.
I need to find the area of the garden and patio. Please help.

To find the area of the garden, you're on the right track! However, instead of using the formula for the area of a rectangle, you should use the formula for the area of a triangle, since the shaded region represents a triangular garden.

The formula for the area of a triangle is: A = (base * height) / 2

In this case, the base of the triangle is 8 (just like the base of the rectangle), and the height of the triangle is 4 (just like the height of the rectangle). Dividing by 2 gives us the correct formula for the area of the shaded region:

A = (8 * 4) / 2
A = 32 / 2
A = 16

So the area of the garden is 16 square units.

Now, to find the area of the patio, we need to subtract the area of the garden from the total area of the rectangle. The total area of the rectangle is also found using the formula for the area of a rectangle: A = base * height.

In this case, the base is 8 and the height is 4, just as you mentioned. Multiplying them together gives us the total area of the rectangle:

A = 8 * 4
A = 32

Now, subtract the area of the garden (16 square units) from the total area of the rectangle (32 square units):

32 - 16 = 16

So the area of the patio is 16 square units.

To summarize:
- The area of the garden is 16 square units.
- The area of the patio is also 16 square units.

To find the area of the garden and patio, we need to calculate the area of each component separately.

Let's start with the garden:

You correctly multiplied the base and height of the rectangle (4 x 8) but divided it by 3, which is not necessary. Since the shaded area represents approximately 1/3 of the rectangle, we can calculate the area of the garden by:

Area of the garden = base x height x (1/3)
= 8 x 4 x (1/3)
= 32/3
≈ 10.7 square units

So, the area of the garden is approximately 10.7 square units.

Now, let's move on to the patio:

Since the dimensions of the patio are not mentioned, we cannot determine its area without more information. Please provide the dimensions or any other relevant information about the patio, and I'll be happy to help you calculate its area.