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A rectangular box is twice as long as it is wide. If it were 3 inches shorter and 3 inches wider, it would be square. What is the width in inches of the box?

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Question:

A
6

explanation

Let's denote the width of the rectangular box as "w" inches.

Given:

Length of the box is twice as long as its width: length = 2w inches.

If the box were 3 inches shorter and 3 inches wider, it would be square. This means the new length and width would be equal.

The new length would be (2w - 3) inches, and the new width would be (w + 3) inches.

Since the new length and width are equal, we can set up the equation:

2w - 3 = w + 3

Now, let's solve the equation to find the value of "w":

2w - 3 - w = 3

w - 3 = 3

w = 3 + 3

w = 6

Therefore, the width of the box is 6 inches.

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