#Congruent ellipses

34 messages · Page 1 of 1 (latest)

tawdry spearBOT
faint crow
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What have u done so far

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Since they are all the same u can use the information given go solve for the major and minor axis of the ellipse

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A diagram will help

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Yes

faint crow
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Are u sure the major axis is 7

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From what I interpreted the question, the 2 ellipses stacked on top of each other have mid points 4 units apart

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So would the major axis not be equal to half of that

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Yes

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Ur not wrong

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So it the vertical radius the minor axis?

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Kk then I was labelling it wrong

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So we have b=2

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Draw a diagram with the distances of the middles labelled

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And u will see a triangle

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The height of that triangle divided by 2 will be the major axis

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Since they are all congruent

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The base of thay triangle is 4 units and the othe two side lengths are 14 units

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I believe so

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And half of that is the major axis

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So a equals that, and b=2 so put that into the area formula and thats the answer

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Oh mb I though u needed the area for one of the ellipses

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Im thinking of how to do it but am drawing a blank

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I found the question online on some random math contest but the solutions so not show the step by step process

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Spring 2007 HS

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Question 20

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Did your question also have that end portion about m+n

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I don't think I can help anymore today sorry

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Since this is a HS problem I think we are for sure overlooking something

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Good luck