Use the image to answer the question.
A rectangle shows a length measuring 20 inches and width measuring 12 inches.
Spencer draws a rectangle to represent the size of the city block where he lives. The rectangle is labeled in inches. Spencer decides he wants to make a smaller scale drawing of the rectangle in which the width is just 1.5 inches long. What will be the length of the rectangle in Spencer's new scale drawing? Write your answer in decimal form.
(1 point)
inches
help!!!!!!!!!!!!!
In the original rectangle, the length is 20 inches and the width is 12 inches. To make the width 1.5 inches in the new scale drawing, we can use the ratio of the width in the original rectangle and the new scale drawing:
12 inches / 1.5 inches = 20 inches / x
Cross multiply:
12 * x = 1.5 * 20
12x = 30
x = 30 / 12
x = 2.5 inches
Therefore, the length of the rectangle in Spencer's new scale drawing will be 2.5 inches.
Use the table to answer the question.
Town Town Actual Distance Between Towns
Bellstown Lewis City 120 km
Bellstown Jenkinsville 40 km
Jenkinsville Lewis City 60 km
Arturo creates a scale drawing showing these distances. If the distance between Lewis City and Bellstown is 6 centimeters on his drawing, how far apart are Lewis City and Jenkinsville on Arturo’s drawing?
(1 point)
Responses
12 centimeters
12 centimeters
3 centimeters
3 centimeters
0.05 centimeters
0.05 centimeters
2 centimeters
To find the distance between Lewis City and Jenkinsville on Arturo's drawing, we need to use the scale of the drawing.
The actual distance between Lewis City and Bellstown is 120 km, and on Arturo's drawing, it is represented by 6 cm.
Thus, the scale factor is 120 km / 6 cm = 20 km/cm.
Now, we need to find the distance between Jenkinsville and Lewis City which is 60 km.
So, the distance on the drawing would be 60 km / 20 km/cm = 3 cm.
Therefore, the distance between Lewis City and Jenkinsville on Arturo's drawing would be 3 centimeters.
Use the image to answer the question.
A parallelogram shows the longer side on the top measuring 9 inches and the shorter side on the right measuring 3 inches.
Tiyane makes a scale drawing of the parallelogram. The longer side of the parallelogram is 22.5 inches in her drawing. What is the length of the parallelogram’s shorter side in Tiyane’s scale drawing?
(1 point)
Responses
0.4 inches
0.4 inches
7.5 inches
7.5 inches
2.5 inches
2.5 inches
60 inches
To find the length of the shorter side in Tiyane's scale drawing of the parallelogram, we can use the scale factor.
The longer side of the parallelogram in the scale drawing is 22.5 inches, while the actual longer side is 9 inches. Therefore, the scale factor is 22.5 inches / 9 inches = 2.5.
To find the length of the shorter side in the scale drawing, we can use the scale factor:
Shorter side of the parallelogram in the scale drawing = Actual length of the shorter side / Scale factor
Shorter side in the scale drawing = 3 inches / 2.5 = 1.2 inches
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing would be 1.2 inches.