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
A. 864 in
B. 40 in
C. 72 in
D. 96 in
To find the length of the scale drawing, we need to set up a proportion using the dimensions of the actual mural and the scale drawing.
Actual width: 24 feet
Actual length: 36 feet
Scale drawing Width: 8 inches
Let x represent the length of the scale drawing in inches.
24 feet / 36 feet = 8 inches / x
24/36 = 8/x
x = (8 * 36) / 24
x = 12 inches
So, the length of the scale drawing is 12 inches.
Now, to find the area of the mural in the scale drawing, we multiple the dimensions of the scale drawing:
Area = width * length
Area = 8 inches * 12 inches
Area = 96 square inches
Therefore, the correct answer is:
D. 96 in
how do you know
To find the length of the scale drawing in inches, we set up a proportion:
Actual width / Actual length = Scale drawing width / Scale drawing length
Plugging in the given values:
24 feet / 36 feet = 8 inches / x
Cross multiply:
24 ft * x = 36 ft * 8 in
24x = 288
x = 288 / 24
x = 12 inches
Next, to find the area of the mural in the scale drawing, we simply calculate the area of the scale drawing:
Area = Width * Length
Area = 8 in * 12 in
Area = 96 square inches
Therefore, the area of the mural in the scale drawing is 96 square inches.