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James has a piece of construction paper with an area of 50 1/4 inches. It is 4 3/16 inches long. What is the width of the piece of construction paper in inches?

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Answer:

The width of the piece of construction paper is 12 inches.

Explanation:

The length of the construction paper= 4 3/16 in log


4(3)/(16) = 4 +  (3)/(16) = 4 + 0.1875 = 4.1875

Length of the paper = 4.1875 inches

Let the width of the paper = w inches

The area of the paper = 50 1/4 sq. inches.


50(1)/(4) = 50 +  (1)/(4) = 50 + 0.25 = 50.25

Area of the paper = 50.25 sq. inches

Now, Area of the paper = LENGTH x WIDTH

or, 50.25 sq. inches = 4.1875 inches x w

⇒ w = 50.25 / 4.1875 = 12 in

or, w = 12 in

Hence, the width of the piece of construction paper is 12 inches.

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