Luis made a quilt for his cousin's doll. The quilt had a 6x6 array of different color square patches. if each patch is 2 1/4 in long, what is the area of the whole quilt?

I need it into a mixed number

yeetus that feetus was here

To find the area of the entire quilt, we need to calculate the total area of all square patches in the 6x6 array.

First, let's calculate the area of a single square patch. Each side of the square patch is given as 2 1/4 inches. To find the area, we multiply the length of one side by itself.

2 1/4 inches = 9/4 inches

Area of a square = (side length)²
Area of the square patch = (9/4)² = 81/16 square inches

Now, we can calculate the area of the entire quilt by multiplying the area of one square patch by the number of square patches.

Number of square patches = 6 x 6 = 36 patches

Area of the whole quilt = Area of a single square patch x Number of square patches
Area of the whole quilt = 81/16 square inches * 36 patches

To proceed further, we can simplify the multiplication by multiplying the numerators and multiplying the denominators.

Area of the whole quilt = (81 * 36) / (16) square inches
Area of the whole quilt = 2916 / 16 square inches

To further simplify, we can divide the numerator and denominator by their greatest common divisor, which is 4.

Area of the whole quilt = (2916 ÷ 4) / (16 ÷ 4) square inches
Area of the whole quilt = 729 / 4 square inches

Finally, we have the simplified fraction form of the area of the whole quilt. However, if we want to convert it to a decimal, we can divide the numerator by the denominator.

Area of the whole quilt ≈ 182.25 square inches

So, the area of the whole quilt is approximately 182.25 square inches.

If "6x6" means there are 6 patches in each direction:

(6*2.25)(6*2.25) = ?

By the way, online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown