Answered

Ms. Plantita will build a garden next to her house and she has 90 meters of fencing materials available for the three (3) sides. What would be the dimension of the garden be to maximize the area? Of Ms. Plantita will maximize the area for her garden, what is the total area she allotted for her garden?.

Sagot :

Kyloangie78viz

Answer:

  • 1012.5 m^2

Step-by-step explanation:

Let the garden be L m x B m.

Area = LB

Length of 3 sides = L+2B = 90, or L = 90–2B.

Area = A = (90–2B)B = 90B-2B^2.

dA/dB = 90 - 4B = 0 or B = 22.5

d2A/dB^2 = -4, meaning a maximum.

Hence, the rectangular garden = 45 m x 22.5 m and its area = 1012.5 m^2.