Question A rectangular mural is 24 feet in width and 36 feet in length. A scale drawing of the mural has a width of 8 inches. Find the length. What is the PERIMETER, in inches, of the mural in the scale drawing?
68 inches
20 inches
12 inches
40 inches
To find the length of the scale drawing, we first need to find the scale factor by comparing the actual dimensions with the scale dimensions.
Actual width = 24 feet = 24*12 = 288 inches
Actual length = 36 feet = 36*12 = 432 inches
Scale width = 8 inches
Scale factor = Actual width / Scale width = 288 / 8 = 36
Length of the scale drawing = Scale factor * Actual length = 36 * 432 = 15552 inches
Now, to find the perimeter of the mural in the scale drawing:
Perimeter = 2 * (Width + Length)
Perimeter = 2*(8 + 15552) = 2*(15660) = 31320 inches
Therefore, the perimeter of the mural in the scale drawing is 31320 inches.