a quilter wants to use as many of his 65 small fabric squares as possible to make one large square quilt .
A- how many small squares can the quilter use ?
B- how many small squares would he ahve left ?
C- how many more squares would the quilter need to make the next largest possible square quilt ?
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please explain :)
The largest square that can be made with what is available would use 8 x 8 = 64 squares. There would be one left over. The next larger size would be 9x9 = 81 squares, and your require 16 more.
A- To determine how many small squares the quilter can use, we need to find the largest perfect square that is smaller than or equal to 65. The largest perfect square smaller than 65 is 64 (8²). Therefore, the quilter can use 64 small squares.
B- To find out how many small squares the quilter would have left, we subtract the number of squares used from the total available squares. In this case, the calculation is 65 - 64 = 1. So, the quilter would have 1 small square left.
C- To determine how many more squares the quilter would need to make the next largest possible square quilt, we find the difference between the side lengths of the largest square used and the next largest square. The largest square used is 8x8 (64 squares), and the next square would be 9x9 (81 squares). The difference is 81 - 64 = 17. Therefore, the quilter would need 17 more squares to make the next largest possible square quilt.
To solve this problem, we'll break it down into three parts:
A) To determine how many small squares the quilter can use to make one large square quilt, we need to find the largest perfect square less than or equal to 65.
To do this, we can start by finding the square root of 65:
√65 ≈ 8.06
Since the square root of 65 is not a whole number, we can round it down to the nearest whole number, which is 8. This means the quilter can use 8 x 8 = 64 small squares to make a large square quilt.
B) To calculate how many small squares the quilter would have left, we subtract the number of squares used from the total number of small squares available.
65 - 64 = 1
So, the quilter would have 1 small square left.
C) To determine how many more squares the quilter would need to make the next largest possible square quilt, we need to find the difference between the number of squares used for the large square quilt and the next largest perfect square.
The next largest perfect square after 64 is 81. So, the difference is:
81 - 64 = 17
Therefore, the quilter would need 17 more squares to make the next largest possible square quilt.
In summary:
A) The quilter can use 64 small squares.
B) The quilter would have 1 small square left.
C) The quilter would need 17 more squares to make the next largest possible square quilt.