Solve algebraically using only variable: The length of a rectangle is two less than three times

its width. If the area of the rectangle is 65, find the length and the width. (The area of a rectangle is equal to its length times its width.

1 answer

L = 3W-2

L*W = 65

(3W-2)W = 65

3W^2 - 2W - 65 = 0

Factor to solve for W, then insert W value in the first equation to find L.