document.write( "Question 984669: I am having trouble figuring out part C of this problem:\r
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document.write( "A farm has the shape of a rectangle with an equilateral triangle on one end of the rectangle and a semicircle on the opposite end of the rectangle. The length of the rectangle is three times the radius of the semicircle.
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document.write( "a.) Write a function for the perimeter of the farm in terms of the radius of the semicircle.
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document.write( "b.) Write a function for the area of the farm in terms of the radius of the semicircle.
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document.write( "c.) Write a function for the area of the farm in terms of the perimeter of the farm.
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #605481 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! length of rectangle (l) = 3 * r where r is the radius of the semicircle \n" ); document.write( "width of rectangle (w) = 2 * r \n" ); document.write( "side of triangle (s) = 2 * r \n" ); document.write( "******************************************************************************* \n" ); document.write( "a) Perimeter (P) = circumference of semicircle + (2 * length of rectangle) + (2 * side of triangle) \n" ); document.write( "P = (pi * r) + (2 * 3 * r) + (4 * r) = r * (pi + 10) = 13.14 * r \n" ); document.write( "******************************************************************************* \n" ); document.write( "b) Area (A) = (1/2) * Area of circle + Area of rectangle + area of equilateral triangle \n" ); document.write( "A = ((1/2) * pi * r^2) + (2 * r * 3 * r) + ((1/2) * (2 * r) * r*square root(3)) \n" ); document.write( "A = r^2 * ( (pi/2) + 6 + (square root(3)) = 9.30 * r^2 \n" ); document.write( "******************************************************************************* \n" ); document.write( "c) A = P * r - 3.84 \n" ); document.write( "note that pi is 3.14 \n" ); document.write( " \n" ); document.write( " |