A sheet of construction paper is 9 inches long and 11 inches wide. How many 1- inch squares of paper can cut out one sheet of paper?

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Answer:

99

Step-by-step explanation:

A sheet of paper which is 9" long and 11" wide has an area of (9")(11"), or 99 sq inches.  This translates into 99 1-inch squares of paper that can be cut from that one sheet of paper.

You can use the fact that area of a figure is expressed in terms of square units, which can be taken as that figure can contain that many squares of that unit side length.

The number of 1-inch squares that can be cut from the given sheet of paper is 99

How to find the numbers of 1 inch squares that can be cut from a rectangular paper?

Area of a figure is expressed in terms of square units, which can be taken as that figure can contain that many squares of that unit side length.

The area of the given paper is the area of a rectangle with side length 9 inches and 11 inches which comes out as

[tex]Area = length \times width\\Area = 9 \times 11 = 99\: \rm inch^2[/tex]

since 9 is integer, 11 is integer, and 99 is integer, thus, there can be 99 1-inch squares drawn on that sheet of paper and thus, those can be cut to get 99 1-inch squares of paper.

(that check of integers was necessary since only integers can be expressed as sum of 1s and that ability of getting expressed as sum of 1s is necessary for those 1-inch squares to come out fully)

Thus,

The number of 1-inch squares that can be cut from the given sheet of paper is 99

Learn more about area of rectangle here:

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