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?(1 point) Responses 68 inches 68 inches 20 inches 20 inches 12 inches 12 inches 40 inches
correct answer?
The correct answer is 40 inches.
To find the length in the scale drawing, we need to first calculate the scale factor:
Scale Factor = Width of scale drawing / Actual width
Scale Factor = 8 inches / 24 feet = 1/3
Now, we can find the length in the scale drawing:
Length in scale drawing = Scale Factor * Actual length
Length in scale drawing = 1/3 * 36 feet = 12 inches
To find the perimeter in the scale drawing, we can use the scale factor to convert the actual measurements to the scale drawing measurements:
Actual perimeter = 2(length + width) = 2(24 feet + 36 feet) = 120 feet
Perimeter in scale drawing = Scale Factor * Actual perimeter
Perimeter in scale drawing = 1/3 * 120 feet = 40 inches
Therefore, the perimeter of the mural in the scale drawing is 40 inches.