Question

A scale drawing of a rectangular terrace at a resort is shown 12 in , 18 in 1 in 5and3 /4

What is the perimeter in feet of the actual terrace
83 feet
60 feet
345 feet
172.5 feet

Answer 1

To find the perimeter of the actual terrace, we need to convert the dimensions from the scale drawing to the actual dimensions in feet.

Given that 1 inch on the scale drawing represents 5 and 3/4 inches in real life, we can create a ratio:

Scale:Actual
1:5.75

So we can convert the dimensions as follows:

12 inches * 5.75 = 69 inches = 5.75 feet
18 inches * 5.75 = 103.5 inches = 8.625 feet

Now we can calculate the perimeter of the actual terrace:

Perimeter = 2 * (length + width)
Perimeter = 2 * (8.625 + 5.75)
Perimeter = 2 * 14.375
Perimeter = 28.75 feet

Therefore, the correct answer is:

Perimeter = 28.75 feet