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A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum?

When I worked the problem out(which is a bit detailed). I started with y = square root 25-x^2 then A = 2x square root 25-x^2. For my answer, I got y = square root 25-25/2 = square root 25/2= 5 square root 2/2. Then A= 5 square root 2 times 5 square root 2/2 =25. But I don't know if my answer 25 is correct.

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2 answers

  1. Copy your question in google.

    When you see list of results click on :

    e n . a l l e x p e r t s . c o m

    You will see answer.

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  2. Okay thanks :), that did help

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