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Sub 505 (Easy)|   Geometry|            
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Bunuel
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Bunuel
If the Longfellow Playground is rectangular, what is its width?

(1) The ratio of its length to its width is 7 to 2.
(2) The perimeter of the playground is 396 meters.

 
Statement 1: Insuff. All we know is that the ratio is 7:2. This means the length could be 7, 14, 21, 28.

Statement 2: Insuff. The length could be 150 and the width could be 48 OR length could be 100 and width could be 98.

Combining the two we know that because the ratio is 7:2 we can find the value for length and width.

7x + 7x + 2x + 2x = 196 -> 196/18 = 11. Width is thus 22­
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Obviously it is C!

The perimeter will tell the total value of length and the width and the ratio will tells us the answer.

2 * (7x + 2x) = 396

we can then find x and then multiply it by 2 to find the answer
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