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?

Respuesta :

Answer:

Matt will need 10176  square quilts to cover the wall

Step-by-step 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 = [tex]91584in ^{2}[/tex]

We will also find the area of the square quilts. This is given as length X length = [tex]3^{2}[/tex]=[tex]9 in^{2}[/tex]

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

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