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 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 are left over? how many more pieces of fabric would you need to increase the size of the blanket?

Answer 1

To make a square blanket, you need to calculate the squareroot of 120, which is 10,954... so the biggest number is 10x10 peaces of fabric you can use to create a square blanket. These are 100 (so 20 are left over). To create a bigger square blanket of 11×11 peaces (11^2 = 121) you need one more peace of fabric. One peace is six inches, the blanket is 10 peaces long (6×10=60) The size would be 60inchesx60inches= 3.600 inches.