A scale drawing of a rectangular terrace at a resort is shown.
18in, 12in
Scale 1in: 5 3/4ft
What is the perimeter, in feet, of the actual terrace?
A.
83 feet
B.
60 feet
C.
172.5 feet
D.
345 feet
B. 60 feet
To find the perimeter of the actual terrace, you first need to find the actual dimensions of the rectangle.
Since the scale is 1in:5 3/4ft, to find the actual dimensions, you need to multiply the scale drawing dimensions by 5 3/4.
Length of actual terrace = 18in * 5 3/4 = 18 * 5.75 = 103.5ft
Width of actual terrace = 12in * 5 3/4 = 12 * 5.75 = 69ft
Now, to find the perimeter, use the formula P = 2(length + width):
P = 2(103.5ft + 69ft)
P = 2(172.5ft)
P = 345ft
Therefore, the perimeter of the actual terrace is 345 feet.