Question

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 1

$120 because the fencing of the patio would use up eight squares and each square in the picture is 3 meters so we would need 24 meters of fencing to cover up the entire patio. Since it cost $5 for one meter, 5*24 is $120.

Answer 2

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