Justin wants to use 188 ft of fencing to fence off the greastest possible rectangular area for a garden. what dimension should he use? what will be the area of the garden?

the greatest possible area is actually a square

188/4 = 47 feet each side

 area = 47^2 = 2209 square feet

Step-by-step explanation:

Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden.

So, perimeter = 188 ft

The greatest possible rectangular area is square.

So,  Perimeter of square =

So,

Thus the side of the square is 47 m

Thus the dimension of greatest possible rectangular area =

Area of garden =

                          =

Hence the area of the garden is                              

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

table 3 represents a direct variation function. : )