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 squares as possible to make a square blanket. What is the area of the blanket? How many pieces are left over? How many more pieces of fabric would you need to increase the size of the blanket?

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barnuts barnuts · Answer 1 · 2017-10-12T15:45:19+02:00

A. Since the blanket to be made is a square, therefore there should be equal number of fabric on all sides. So find the square root of 120.

number of fabrics = sqrt (120) = 10.95

Since number of fabrics cannot be decimal, therefore the largest number of pieces of fabric per side is 10 (length and width).

Since each fabric measures 6 inches, so total length per side is 60 inches. The area is therefore:

Area of blanket = 60 in * 60 in = 3600 square inches

B. Since the two sides, length and width, has same number of fabrics which is 10, so total number used is = 10 * 10 = 100

So the left-over are 120 – 100 = 20 fabrics left over

C. To create a bigger blanket, it would require 11 fabrics per side, so total number used would be = 11 * 11 = 121

Therefore only 1 additional piece of fabric is required.