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W=FD (W)ork=(F)orce*(D)istance
w x h
W/c .4/5
First define your variables and set up some equations. w= width of the rectangle. h= height. d= the diagonal. Our goal is to first solve for h and w so we can calculate perimeter. According to Pythagorean theorem, w^2 + h^2 = d^2 (we can do this because half of a rectangle is a right triangle). h^2 + w^2 = 17.55^2. Also, the length times width equals area (l x w=area). So, h x w =109.35 cm. Since you have 2 unknown variables and 2 equations, you can solve for the variables one at a time by using substitution. By manipulating the 2nd equation to isolate h, h= 109.35/w. Then, plug in your "h value" you just solved for into the 1st equation to get (109.35/w)^2 + w^2 = (17.55)^2. Simplifies to (11957.422/w^2) + w^2 = 308.0025. Manipulate and solve.
start real length L and width w calculate the area A= Lw calculate the circumference C=2(L+w) Display A and C End