Brett made a quilt for his 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?
To find the area of the whole quilt, we need to multiply the length and width of the quilt.
We are given that the quilt has a 6 × 6 array of square patches. Since each patch is 2 1/4 in long, the length and width of the quilt can be calculated as follows:
Length of quilt = (Number of patches in a row) × (Length of each patch)
Length of quilt = 6 patches × 2 1/4 in/patch
To multiply a whole number by a fraction, we multiply the whole number by the numerator and then divide the result by the denominator:
Length of quilt = 6 patches × (2 + 1/4) in/patch
Length of quilt = 6 patches × (9/4) in/patch
Length of quilt = (6 × 9) / (4) in
Length of quilt = 54/4 in
Length of quilt = 13.5 in
Similarly, the width of the quilt is also 13.5 in, so we can say the quilt is a square.
To find the area of the quilt, we multiply the length and width:
Area of quilt = Length × Width
Area of quilt = 13.5 in × 13.5 in
Area of quilt = 182.25 square inches
Therefore, the area of the whole quilt is 182.25 square inches.
I assume you mean that each square measures 2 1/4 inches on each side.
6 * 2 1/4 = 13 1/2 inches
(13 1/2) * (13 1/2) = _________ square inches