A sidewalk borders a rectangular play area.the play area measures 20ft by14ft.the width of the sidewalk is 2 ft.what is the perimeter of the outside borders of the sidewalk?
2(20+2*2 + 14+2*2) = 84 ft
To find the perimeter of the outside borders of the sidewalk, we need to calculate the sum of the lengths of all four sides of the rectangular play area including the sidewalk.
Given:
Length of the rectangular play area = 20 ft
Width of the rectangular play area = 14 ft
Width of the sidewalk = 2 ft
To find the perimeter, we first need to determine the dimensions of the area covered by the sidewalk. Since the sidewalk surrounds the play area on all sides, we need to add twice the width of the sidewalk to the length and width of the play area.
Length of the play area including the sidewalk = Length of the rectangular play area + (2 x Width of the sidewalk)
Width of the play area including the sidewalk = Width of the rectangular play area + (2 x Width of the sidewalk)
Substituting the values, we have:
Length of the play area including the sidewalk = 20 ft + (2 x 2 ft)
Width of the play area including the sidewalk = 14 ft + (2 x 2 ft)
Calculating the values:
Length of the play area including the sidewalk = 20 ft + 4 ft = 24 ft
Width of the play area including the sidewalk = 14 ft + 4 ft = 18 ft
Now that we have the dimensions of the play area including the sidewalk, we can calculate the perimeter by adding up all four sides.
Perimeter = 2 x (Length of the play area including the sidewalk + Width of the play area including the sidewalk)
Substituting the values, we have:
Perimeter = 2 x (24 ft + 18 ft)
Calculating the perimeter:
Perimeter = 2 x 42 ft
Perimeter = 84 ft
Therefore, the perimeter of the outside borders of the sidewalk is 84 ft.