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?
A. 68 inches
B. 20 inches
C. 12 inches
D. 40 inches
To find the length of the mural in the scale drawing, we can set up a proportion:
24 feet (actual width) / 8 inches (scale width) = 36 feet (actual length) / x (scale length)
This simplifies to:
3 = 36 / x
Cross multiply to solve for x:
3x = 36
x = 12
So, the length of the mural in the scale drawing is 12 inches.
To find the perimeter in the scale drawing, we can add up all the sides in the scale drawing:
Perimeter = 2(width) + 2(length)
Perimeter = 2(8 inches) + 2(12 inches)
Perimeter = 16 inches + 24 inches
Perimeter = 40 inches
Therefore, the PERIMETER of the mural in the scale drawing is 40 inches, which corresponds to answer choice D.