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What is the width of the Oval Office at its widest part?

The Oval Office I’m washington DC is an ellipse with key features of the room located on the foci, 7 feet 5 inches from the walls (89 inches). The rooms total length is 35 feet 10 inches (430 inches). What is the width of the Oval Office at its widest part?

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Timothy W. | High School Math Teacher Available on the WeekendsHigh School Math Teacher Available on th...
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In an ellipse a^2 + b^2 = c^2 with a = the distance between the center and vertices, c = the distance between the center and the foci, and b = the distance between the center and the co-vertices.
If the room's length is 430 inches, then a = 430/2. c = a - 89. Now you will be able to find b, which you will then multiply by 2.