Question 1134807
L x W = 592
(3W - 11) x W = 592
3W^2 - 11W = 592
3W^2 - 11W - 592 = 0
.
now factor the equation and you get:
3w2 - 48w + 37w - 592
Pull out common factors and add first two terms:
3w2 - 48w = 3W(W - 16)
now the last two terms:
37W - 592 = 37 x (w - 16)
put it all together:
(w - 16) x (3w + 37)  = 0
w - 16 = 0
W = 16
or
3W + 37 = 0
3W  = -37 
W = -37/3
we are not looking for a negative number, so let's try 16:
16 x (3(16)-11) = 592
16 x (48 - 11) = 592
16 x 37 = 592 Correct, we have the correct answer