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?

Respuesta :

the greatest possible area is actually a square

188/4 = 47 feet each side

 area = 47^2 = 2209 square feet

Answer:

[tex]2209 ft^2[/tex]

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 = [tex]4 \times Side[/tex]

So, [tex]188= 4 \times Side[/tex]

[tex]\frac{188}{4}= Side[/tex]

[tex]47= Side[/tex]

Thus the side of the square is 47 m

Thus the dimension of greatest possible rectangular area = [tex]47 ft \times 47 ft[/tex]

Area of garden = [tex]47 \times 47[/tex]

                          = [tex]2209 ft^2[/tex]

Hence the area of the garden is    [tex]2209 ft^2[/tex]