a rectangle has one side x cm and its perimeter is 44cm.

Question

Show that the area of the rectangle, A cm^2, is given by A=22x-x^2. Find the maximum value of A and give dimensions of the rectangle for which the maximum area occurs

Answer 1

rektangel: leng=x & rim-leng=44

so half-rim=22=leng+wide, so wide=22-x

Area=A=leng*wide=x*(22-x)=-x^2+22x

or A=-x*(x-22)