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 AREA, in inches, of the mural in the scale drawing?(1 point) Responses 864 in2 864 in2 40th in2 40th in2 72 in2 72 in2 96 in2
To find the length of the mural in the scale drawing, we need to determine the scale factor between the actual measurements and the scale drawing measurements.
Actual width: 24 feet
Scale drawing width: 8 inches
Scale factor = Actual width / Scale drawing width
Scale factor = 24 feet / 8 inches
Scale factor = 3 feet per inch
Now, we can find the length of the mural in the scale drawing:
Actual length: 36 feet
Scale drawing length = Scale factor x Actual length
Scale drawing length = 3 feet/inch x 36 feet
Scale drawing length = 108 inches
Now, we can calculate the area of the mural in the scale drawing:
Area = Width x Length
Area = 8 inches x 108 inches
Area = 864 square inches
Therefore, the correct answer is:
864 in2