Andrew M. answered • 11/16/17

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

w = width

L = length = w + 45

h = height = w - 19

volume = Lwh = 24750

w(w+45)(w-19) = 24750

w

^{3}+ 26w^{2}- 855w = 24750w

^{3}+ 26w^{2 }- 855w - 24750 = 0w = 30 ft

Note: Realizing that w must be more than 19 or the answer would be negative,

I plugged in 20 for w in w(w+45)(w-19) = 24750

and that wasn't high enough so I tried w = 30 and that was correct.

L = w+45 = 75 ft

h = w-19 = 11 ft

Check: LWH = 24750

75(30)(11) = 24750

24750 = 24750

Answer is verified