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January 25, 2015

January 25, 2015

Posted by **Fabiola** on Friday, March 30, 2007 at 12:02am.

Enter your answers correct to two decimal places. Remember to take into account in your calculations that there is only half of a circle.

1.The length of the bottom of the rectangle is________ feet.

2.The length of each of the sides of the rectangle is ________feet.

I would let the bottom of the rectangle be 2x, that way you can let the radius of the circle be x, and avoid fractions.

Let the height of the rectangle by y.

Your main equation is

Area = xy = 1/2 Pi*x^2

but we know P=46

so 2x+2y + 1/2(2Pi*x) = 46

solve this for y, and substitute y in your Area equation

Differentiate,set equal to zero, and solve.

Good luck

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