Jack is making square pillows for his room. He is using different fabric for each face, one width a width of 80 inches and the other with a
width of 48 inches. What is the length of one side the largest pillow he can make if all the pillows are the same size, each face is made from
only one piece of fabric, and no fabric is wasted?
To find the length of one side of the largest square pillow Jack can make, you need to determine the shortest width of fabric he is using. In this case, the shortest width is 48 inches.
Now, for a square pillow, both sides are equal in length. Let's represent the length of one side of the square pillow as "x" inches.
To maximize the size of the square pillow, Jack will use the longer width of fabric (80 inches) to make the square sides of the pillow.
Each side of the square pillow is made up of two equal lengths of fabric. So, the total length of fabric used for one side of the pillow is 2x inches.
Since Jack wants to use the longer fabric width (80 inches) for each side, we can express the length of one side of the pillow as:
2x = 80
Now, we can solve for x:
2x = 80
x = 80/2
x = 40
Therefore, the length of one side of the largest square pillow Jack can make is 40 inches.