Question 983855
A, area of whole figure
p, perimeter
r, radius of connected semicircle, also one of the rectangle part's dimensions
h, height dimension perpendicular to r
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A=24


QUESTION: What is perimeter as a function of r?


{{{A=(1/2)pi*r^2+h*r}}}
{{{A=(pi/2)r^2+h*r}}}
Solve this for h.
{{{hr=A-(pi/2)r^2}}}
{{{h=A/r-(pi/2)r}}}-----this formula for h will be used.


{{{p=2h+r+pi*r}}}
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Substitute for h.
{{{p=2(A/r-(pi/2)r)+r+pi*r}}}
{{{p=2A/r-pi*r+r+pi*r}}}
{{{p=2A/r-pi*r+pi*r+r}}}
{{{highlight(p=2A/r+r)}}}