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?

Answer 1

To find the length of the scale drawing, we first need to determine the scale factor.

Scale factor = width of scale drawing / actual width = 8 inches / 24 feet = 1/3

Now, we can find the length of the scale drawing:

Length of scale drawing = scale factor * actual length = (1/3) * 36 feet = 12 inches

Next, we can find the perimeter of the mural in the scale drawing:

Perimeter = 2(width) + 2(length) = 2(8 inches) + 2(12 inches) = 16 inches + 24 inches = 40 inches

Therefore, the length of the scale drawing is 12 inches and the perimeter of the mural in the scale drawing is 40 inches.