you have 120 pieces of fabric to make a blanket. each piece of fabric is a square with a side length of 6 inches. you use as many pieces of fabric as possible to screat a square blanket. What is the area of the blanket? How many pieces of fabric are left over? How many more pieces of fabric would you need to increase the size of the blanket?
You could only use 100 pieces of fabric to make a square blanket.
10 * 6 = 60 by 60 inches
The area is 3600 square inches
If you had one more piece, you would increase the size of the blanket.
Ok we are going to solve this problem.
The question says how many pieces of fabric can you use to make a SQUARE blanket. This means that all sides have to be the same. So if you have 120 pieces of fabric the most you can use to make a square would be a 10 X 10 perimeter, which would give you 100 pieces being used. If you decided to make it a 11 X 11 you would need 121 pieces. But we only have 120 pieces, so this means you are missing 1 piece to make it a 11X11 size blanket. As for the area of the blanket you would take the amount of pieces we used (100 pieces) and the size of each one. (square of 6 inches each side.) 6x6 is equal to 36 square inches for every piece of fabric.
so you take the 36 and multiply by the amount of pieces used (100) and that gives us our area in inches square. 100 X 36 = 3600 square inches.
and since you had 120 pieces and only used 100 you have 20 pieces left over. Remeber if you want to make this blanket bigger all you need is just one more piece.