A rectangular table for the dining room has a surface area of 24 square feet. The length is two more feet than twice the width of the table. Find the length and width of the table.

W=3 feet, L=8 feet

Step-by-step explanation:

W=W

L=2W+2

W (2W+2) = 24

2W²+2W=24

2W²+2W-24=0, now factor

(2W+8) (W-3) = 0

2W+8=0, 2W=-8, w=-4; dimension can't be negative

W-3=0, W=3, W = 3 feet

L=2 (3) + 2 = L = 8 feet