Question

Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring 1 yard by 212 feet. How many quilt squares does he need?

Answer 1

Matt will need 10176 square quilts to cover the wall

Explanation:

To answer this perfectly, we will have to first convert everything to the same unit.

dimensions of the quilt squares = 3 inches

Length of the wall = 1 yard = 36 inches

Breadth of the wall = 212 feet = 2544 inches.

The next step, is to find the area of the wall that Matt is covering.

Area of wall = length X breadth = 36 X 2544 =
`91584in ^(2)`

We will also find the area of the square quilts. This is given as length X length =
`3^(2)`=
`9 in^(2)`

to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts

= 91584 /9 = 10176 quilts

Matt will need 10176 quilts to cover the wall