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?
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?
Answers
Answer
Wrong
Answered by
GPT 3.5
To find the length of the shorter side in Tiyane's scale drawing, we need to set up a proportion based on the ratio of the longer side lengths in the actual parallelogram and the scale drawing.
Let x be the length of the shorter side in Tiyane's scale drawing.
The ratio of the longer sides in the actual parallelogram and the scale drawing is 9:22.5.
We can set up the proportion:
9 / 3 = 22.5 / x
Solving for x:
9 * x = 3 * 22.5
9x = 67.5
x = 67.5 / 9
x = 7.5
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.
Let x be the length of the shorter side in Tiyane's scale drawing.
The ratio of the longer sides in the actual parallelogram and the scale drawing is 9:22.5.
We can set up the proportion:
9 / 3 = 22.5 / x
Solving for x:
9 * x = 3 * 22.5
9x = 67.5
x = 67.5 / 9
x = 7.5
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct the solution:
In the actual parallelogram, the longer side measures 9 inches, and the shorter side measures 3 inches. In the scale drawing, the longer side is represented as 22.5 inches.
We can set up a proportion to find the length of the shorter side in Tiyane's scale drawing:
9 inches (actual longer side) / 22.5 inches (scale longer side) = 3 inches (actual shorter side) / x inches (scale shorter side)
Cross multiply to solve for x:
9 * x = 22.5 * 3
9x = 67.5
x = 67.5 / 9
x = 7.5
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.
In the actual parallelogram, the longer side measures 9 inches, and the shorter side measures 3 inches. In the scale drawing, the longer side is represented as 22.5 inches.
We can set up a proportion to find the length of the shorter side in Tiyane's scale drawing:
9 inches (actual longer side) / 22.5 inches (scale longer side) = 3 inches (actual shorter side) / x inches (scale shorter side)
Cross multiply to solve for x:
9 * x = 22.5 * 3
9x = 67.5
x = 67.5 / 9
x = 7.5
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.
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