Question 46608
x^2 + x^2 + 2x + 1 = 16
2x^2 + 2x = 15
x^2 + x = 7.5
(x + 1/2)^2 = 30/4 + 1/4 = 31/4
x + 1/2 = +-{{{sqrt(31)}}}/2
x = -1/2 +- {{{sqrt(31)}}}/2
You can not have a negative measurement, so your answer:
width = -1/2 + {{{sqrt(31)}}}/2
length = 1/2 + {{{sqrt(31)}}}/2