Angela made a quilt for her cousin's doll. The quilt had a 6 × 6 array of different color square patches. If each patch is 2
1
4
in long, what is the area of the whole quilt?
I assume you meant 2 1/4. (6 * 2.25)(6 * 2.25) = ?
To find the area of the whole quilt, we need to multiply the length by the width. In this case, the quilt has a 6 × 6 array of square patches, so the length and width are both 6 patches.
To calculate the area, we multiply the length and width:
Area = length × width
Since the length and width are both 6 patches, we have:
Area = 6 patches × 6 patches
Now, we need to convert the patch measurement to a regular unit of length. Since each patch is 2 1/4 inches long, we need to multiply the patch measurement by the conversion factor to inches.
1 patch = 2 1/4 inches
So, the length and width of the quilt are:
Length = 6 patches × 2 1/4 inches/patch
Width = 6 patches × 2 1/4 inches/patch
Now, we can calculate the area by multiplying the length and width:
Area = Length × Width
= (6 patches × 2 1/4 inches/patch) × (6 patches × 2 1/4 inches/patch)
Simplifying the equation:
Area = 6 × 6 × (2 1/4 inches) × (2 1/4 inches)
Multiplying the numbers:
Area = 36 × (2.25 inches) × (2.25 inches)
Calculating the area:
Area = 91.125 square inches
Therefore, the area of the whole quilt is 91.125 square inches.