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
40 in2
40 in2
72 in2
72 in2
96 in2
96 in2
To find the length of the scale drawing, we can use proportions. The ratio of the width in the scale drawing to the actual width is given as 8 inches to 24 feet. The ratio of the length in the scale drawing to the actual length is unknown to 36 feet.
Setting up the proportion:
8 inches / 24 feet = x inches / 36 feet
x = (8 inches * 36 feet) / 24 feet
x = 12 inches
Therefore, the length of the scale drawing is 12 inches.
Now, to find the area of the mural in the scale drawing, we can multiply the width and length:
8 inches * 12 inches = 96 square inches
So, the area of the mural in the scale drawing is 96 square inches.