Question 46343
you have the right idea but made a few Yistakes

x~2+(x+1)~2=4~2 or x~2+x~2+2x+1=16 or 2x~2+2x+1-16=0 or 2x~2+2x-15=0 or
x~2+x-7.5 now using the quadradic equation -- the solutions are x=2.283882181415 & x=-3.283882181415. Thus the solution is the width of the rectangle is 2.28cm & the length is 2.28+1 or 3.28cm.

Proof 2.283882181415*2.283882181415+3.2823882181415*3.283888211415=4*4 or 5.21612+10.78388=16 or 16=16