Question

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?

Answer 1

`2209 ft^2`

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 =
`4 * Side`

So,
`188= 4 * Side`

`(188)/(4)= Side`

`47= Side`

Thus the side of the square is 47 m

Thus the dimension of greatest possible rectangular area =
`47 ft * 47 ft`

Area of garden =
`47 * 47`

=
`2209 ft^2`

Hence the area of the garden is
`2209 ft^2`

Answer 2

the greatest possible area is actually a square

188/4 = 47 feet each side

area = 47^2 = 2209 square feet