Question 65712
width = w
length = w + 1
A width and a length can make legs of a right triangle with the diagonal being its hypotenuse. *Draw a picture to better understand.
a^2 + b^2 = c^2
(w)^2 + (w + 1)^2 = 4^2
w^2 + w^2 + 2w + 1 = 16
2w^2 + 2w = 15
w^2 + w = 7.5
(w + 0.5)^2 = 7.75
w + 0.5 = +- sqrt(7.75)
w = -0.5 +- sqrt(7.75)
width about 2.2839
length about 3.2839
*You can use other ways to solve: w^2 + w - 7.5 = 0