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maksim [4K]
4 years ago
14

The length of a rectangle is 3 inches more than its width, and its perimeter is 22 inches. Find the width of the rectangle

Mathematics
1 answer:
Semenov [28]4 years ago
3 0

one thing that may help is the use of diagrams. See the attached photo.

To solve you need two equations.

2w + 2L = 22
L = w + 3

2w + 2(w + 3) = 22
2w + 2w + 6 = 22
4w + 6 = 22
4w = 16
w = 4

L = w + 3
L = 4 + 3
L = 7

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Imagine a simpler problem: the bell has rung just two times since Ms. Johnson went into her office. How long has Ms. Johnson been in her office? It could be almost as short as just 15 minutes (1×15), if Ms. Johnson went into her office just before the bell rang the first time, and the bell has just rung again for the second time.

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So if the bells have run two times since Ms. Johnson went into her office, she could have been there between 15 minutes and 45 minutes. The same logic applies to the case where the bells have rung 24 times—it could have been any duration between 345 and 375 minutes since the moment we started paying attention to the bells!

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