Suppose you had 102 m of fencing to make two side-by-side enclosures as shown. what is the maximum area that you could enclosure

Perimeter: 3w + 2L = 102 ⇒ L = - 1.5w + 51

Area = w * L

= w (-1.5w + 51)

= - 1.5w² + 51x

A' = - 3w + 51

0 = - 3w + 51

3w = 51

w = 17

Perimeter: L = - 1.5w + 51 ⇒ - 1.5 (17) + 51 = - 25.5 + 51 = 25.5

Area = width * Length

= 17 * 25.5

= 433.5

Answer: 433.5 m²