Help with determining length and width measurements

Question

Determine the width of a rectangular lot if its length is 8.6 feet more than 2.4 times its width, and knowing that the area of the lot is 4,355 square feet.

Express your answer to three significant figures.

Answer 1

L = 8.6 + 2.4w

Lw = 4355

(8.6 +2.4w)w = 2.4w + 8.6w - 4355 = 0

factor, use quadratic formula or graph the equation

w = 42.556 feet wide

L = 4355/42.556 = 102.336 feet Long