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A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have the height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string at the foci of the base in order to sketch the outline of the semi ellipse. What is the total length of the string?

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david8644

Answer:

6 feet.

Step-by-step explanation:

Remember that the foci of the semi-ellipse are two points in the base of the semi-ellipse from where you can create the full perimeter of the semi-ellipse, basically form there you can sketch it. And the sum of both to the same spot in the perimeter always adds up to the same number.

To calculate it you just need to remember that the major axis is always equal to that rope that you use to draw the semi-ellipse and since the major axis is the same as the base the rope will be 6 feet.

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