Hi, can anyone please help me with this problem, i have no idea what to do! The question is:
a window frame is in the shape of a semicircle joined to a rectangle. Find the macimum area of a window using 300 cm of framework.
i can usually solve these sorts of questions when i'm working with rectangular shapes... Any help would be much appreciated!
Area window= LW + 1/2 PI (W/2)^2
framework=2L +W + 1/2 PI W
Solve frame work for L, in terms of W and 300cm
Put that into Area equation for L.
dArea/dw =0= derivative , then solve for W.
thankyou!
1 answer
Once you have the area of the window in terms of the width then you can think of w as x and the area as y. Graph the function and you should know how to find critical points of this function (where derivative is zero).
1 answer