Question

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 can use as many pieces of fabric as possible to create a square blanket. What is the area of the blanket? How many pieces of fabric or left over. How many more pieces of fabric what you need to increase the size of the blanket

Answer 1

Area of blanket = 25 sq ft Pieces left over = 20 Need 1 more piece to make the blanket 5.5 ft on edge. Since you want a square blanket, the first step is to calculate the square root of 120, which is 10.95. Since you cannot use a fractional piece of cloth, that means the final blanket will have 10 squares of cloth per edge. What is the area of the blanket? Since there's 10 pieces of cloth per edge and each piece of cloth is a 6 inch square, each edge is 5 feet long. So the total area is 5 * 5 = 25 square feet. How many pieces of fabric is left over? Since there's 10 pieces of cloth per edge, the total number of pieces used will be 10 * 10 = 100. So the number of pieces left over will be 120 - 100 = 20 How many pieces of fabric do you need to increase the size of the blanket? Since the current size is 10x10, the next larger size is 11x11 which means a total of 121 pieces of fabric is needed. Of those 121 pieces, 100 is already being used for the blanket, so you need to add 121 - 100 = 21 pieces of fabric to the blanket. You already have 20 pieces available, so you only need to get 21 - 20 = 1 more piece to make the blanket larger.