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.
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
1 answer