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The area of a rectangular iPhone is 15 1/3 square inches. The width of the iPhone is 3 5/6 inches. Find the length.

A) 4 inches
B) 3 inches
C) 2 1/2 inches
D) 2 inches

1 Answer

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Final answer:

The length of the iPhone is found by dividing the area, 15 1/3 square inches, by its width, 3 5/6 inches. After converting to improper fractions, the result is exactly 4 inches. Thus, the correct answer is 4 inches.

Step-by-step explanation:

To find the length of the iPhone, we can use the formula for the area of a rectangle, which is Area = length × width. We know the area is 15 1/3 square inches and the width is 3 5/6 inches. To find the length, we will divide the area by the width.

First, convert the mixed numbers to improper fractions before dividing:

  • Area = 15 1/3 = 46/3 square inches
  • Width = 3 5/6 = 23/6 inches

Next, divide the area by the width to find the length:

Length = Area / Width = (46/3) / (23/6) = (46/3) × (6/23) = 4

Therefore, the length of the iPhone is 4 inches.

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