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
Samantha is trying to estimate the distance between her school and the park. On a map with a scale of 0.5 in. = 2 miles, the distance between her house and the park is 2.75 in. Which proportion can Samantha use to determine the distance, d, between her school and the park?(1 point)
Responses
0.52.75=2d
0 point 5 over 2 point 7 5 is equal to 2 over d
d2=0.52.75
d over 2 is equal to 0 point 5 over 2 point 7 5
0.5d=22.75
0 point 5 over d is equal to 2 over 2 point 7 5
d0.5=2.752
12 inches
To find the length in the scale drawing, we can set up a proportion using the measurements in the actual mural and the scale drawing.
24 feet (actual width) / 36 feet (actual length) = 8 inches (scale width) / x inches (scale length)
Using cross multiplication, we get x = 12 inches.
Therefore, the length in the scale drawing is 12 inches.
To find the perimeter in the scale drawing, we add up all the sides:
2(8 inches) + 2(12 inches) = 16 inches + 24 inches = 40 inches
Therefore, the perimeter of the mural in the scale drawing is 40 inches.
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 in the scale drawing, we already determined that it is 12 inches.
To find the area of the mural in the scale drawing, we can use the scale factor between the actual mural and the scale drawing.
The scale factor is the ratio between the actual length and the scale length:
36 feet (actual length) / 12 inches (scale length) = 3 feet / 1 inch
The width in the scale drawing is given as 8 inches.
Therefore, the area of the mural in the scale drawing can be calculated as:
8 inches (scale width) x 12 inches (scale length) = 96 square inches
So, the area of the mural in the scale drawing is 96 in^2.
Therefore, the correct response is:
96 in2
d2=0.52.75
Samantha can use the proportion d2 = 0.52.75 to determine the distance, d, between her school and the park.
A drawing of a room has a scale of 14 inch = 1 foot
. Which choice DOES NOT represent a proportional relationship, according to the scale?(1 point)
Responses
112
inch drawing, 6 feet actual
1 and 1 half inch drawing, 6 feet actual
1 inch drawing, 3 feet actual
1 inch drawing, 3 feet actual
2 inch drawing, 8 feet actual
2 inch drawing, 8 feet actual
12
inch drawing, 2 feet actual
1 and a half inch drawing, 6 feet actual
This choice does not represent a proportional relationship according to the given scale of 14 inch = 1 foot.
Find the area of the triangle. Use the formula sheet provided.
(1 point)
Responses
40 inches squared
40 inches squared
63 inches squared
63 inches squared
126 inches squared
126 inches squared
47 inches squared
Without having the specific measurements provided for the triangle (base and height), I am unable to calculate the area. Please provide the base and height of the triangle for calculation.
The price of a plane ticket has increased from $150 to $200. By what percent has the price increased?
new value − old valueold value×100
(1 point)
Responses
15%
15%
25%
25%
33%
33%
50%