If a quilt was being made and the quilt had an 8 ×8 array of patches and each patch is 2 2/3 in long what is area of whole quilt?
length = width = 8(2 2/3) in
= 64/3 in
since it is a square, area = 4096/9 in^2
or appr 455 in^2
whats is 8 x8 and 2/2/3
To find the area of the whole quilt, you can multiply the length and width of the quilt.
First, let's determine the length of the quilt. The quilt has an 8x8 array of patches, meaning there are 8 rows and 8 columns.
To find the total length of the quilt, multiply the number of rows (8) by the length of each row. Each row consists of multiple patches that are each 2 2/3 inches long.
To add fractions, we need a common denominator. The denominator of 2/3 is 3, so we can rewrite 2 2/3 as (2 * 3 + 2)/3 = 8/3.
The total length of the quilt is then 8 rows * 8/3 inches per row = 64/3 inches.
Now, let's determine the width of the quilt. Similar to the length, the quilt also has 8 columns. Each column consists of multiple patches that are each 2 2/3 inches long.
So, the total width of the quilt is 8 columns * 8/3 inches per column = 64/3 inches.
Finally, to find the area of the whole quilt, multiply the length and width:
Area = Length * Width = (64/3 inches) * (64/3 inches)
To simplify the calculation, you can express the area as a fraction:
Area = (64/3) * (64/3) = 4,096/9 square inches.
Therefore, the area of the whole quilt is 4,096/9 square inches.