a rectangular prism has a length x+2 width x+1 heith 4 and volume 24 find length and width WILL MEDAL PLEASE HELP

Question

lieutenantgeneral · Answer

Volume = height x width x length 

V = 24 = 4 (x+2)(x+1)....................so 

6 = (x+2)(x+1) 

x^2 + 3x + 2 - 6 = 0 

x^2 + 3x - 4 = 0 

( x + 4)(x - 1) = 0 

x = -4 or x =1........disregard negative number x = 1 

So length = 1+2 = 3.............. 

and width = 2 

Check volume = 3*2*4 = 24.................correct