The length of a rectangle is 2 less than 3 times its width. If the area of the rectangle is 96cm², what is the length of the rectangle?

The length is 16 cm

Step-by-step explanation:

L= 3w -2   w × L = 96  substitute for L

w(3w -2) =96

3w² -2w = 96

3w² -2w - 96 = 0  factor this

(3w + 16)(w -6) = 0  Set the w-6 factor equal to 0 and solve for w (The 3w + 16 will yield a negative number; real rectangles can't have negative dimensions!)

w-6 = 0   so w = 6

Original equation for L  L =3w -2    substitute 6 for w

L = 3(6) - 2   = 18 -2

L = 16

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: