Shelley designed the patio below, in which one side of the patio is a wall of the house. the length of each side of a square on the grid represents 3 meters.

shelley plans to enclose the patio with fencing. if fencing costs $5 per meter, how much will it cost to enclose the patio?
$40
$60
$120
$180

Answer with Step-by-step explanation:

Shelley plans to enclose the patio with fencing.

The Part to be fenced is the perimeter of the patio-Length of the patio which is along the side of house

As we can see that:

Length of patio=12 meters (4 square grids=4×3=12)

width of patio=6 meters  (2 square grids=2×3=6)

Since, patio is in shape of rectangle hence,

Perimeter of patio=2(12+6)

                             = 36 meters

Total part to be fenced=36-12

                                     =24 meters

Cost of fencing 1 meter=$ 5

Cost of fencing 24 meters=$ (5×24)

                                         = $ 120

Hence, cost to enclose the patio is:

$ 120

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)