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?
hint*
0.4 inches
60 inches
7.5 inches
2.5 inches
To find the length of the shorter side in Tiyane's scale drawing, we can set up a proportion:
9 inches (original shorter side length) / 22.5 inches (original longer side length) = x (unknown shorter side length) / 60 inches (Tiyane's longer side length in the scale drawing)
9 / 22.5 = x / 60
0.4 = x / 60
x = 0.4 * 60
x = 24
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 24 inches.
Incorrect I gave you 4 answers that can be correct.
Apologies for the mistake. Let's calculate the length of the shorter side in Tiyane's scale drawing using the options provided:
9 inches (original shorter side length) / 22.5 inches (original longer side length) = x (unknown shorter side length) / y inches (Tiyane's longer side length in the scale drawing)
9 / 22.5 = x / y
0.4 = x / y
To find the value of y for each of the options given:
1. 0.4 = x / 0.4
x = 0.4 * 0.4
x = 0.16 inches
2. 0.4 = x / 60
x = 0.4 * 60
x = 24 inches
3. 0.4 = x / 7.5
x = 0.4 * 7.5
x = 3 inches
4. 0.4 = x / 2.5
x = 0.4 * 2.5
x = 1 inch
Therefore, among the options provided, the length of the parallelogram's shorter side in Tiyane's scale drawing could be 0.16 inches, 3 inches, or 1 inch.
wrong
Apologies for the mistake. Let's recalculate the length of the shorter side in Tiyane's scale drawing using the options provided:
9 inches (original shorter side length) / 22.5 inches (original longer side length) = x (unknown shorter side length) / y inches (Tiyane's longer side length in the scale drawing)
9 / 22.5 = x / y
0.4 = x / y
Now, let's check which option is correct:
1. 0.4 inches: 0.4 = x / 0.4, x = 0.16 inches
2. 60 inches: 0.4 = x / 60, x = 0.4 * 60 = 24 inches
3. 7.5 inches: 0.4 = x / 7.5, x = 0.4 * 7.5 = 3 inches
4. 2.5 inches: 0.4 = x / 2.5, x = 0.4 * 2.5 = 1 inch
The correct answer is 3 inches. The length of the parallelogram's shorter side in Tiyane's scale drawing would be 3 inches. Thank you for your patience.