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?
To find the length of the shorter side in Tiyane's scale drawing, we need to determine the scale factor of her drawing.
Let's assume the actual length of the longer side of the parallelogram is L inches, and the actual length of the shorter side is S inches.
Given that in Tiyane's scale drawing, the longer side is 22.5 inches, we have:
22.5 / L = scale factor
Now, since a parallelogram has opposite sides that are equal in length, we know that the scale factor of the longer side would be the same as the scale factor of the shorter side.
Therefore, to find the length of the shorter side in Tiyane's scale drawing, we can use the same scale factor.
S = (22.5 / L) * S
Now, we need to find the value of L. Given that the longer side in Tiyane's scale drawing is 22.5 inches, we can set up the following proportion:
L / 22.5 = 1 / scale factor
Since the longer side is 22.5 inches in the drawing, the scale factor would be 1.
Therefore, L = 22.5 inches
Now we can substitute this value of L back into the equation to find the length of the shorter side in Tiyane's scale drawing:
S = (22.5 / 22.5) * S
S = S
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is the same as the actual length of the shorter side.
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
60 inches
60 inches
7.5 inches
7.5 inches
2.5 inches
2.5 inches
0.4 inches
To find the length of the shorter side in Tiyane's scale drawing, we need to determine the scale factor of her drawing.
Let's assume the actual length of the longer side of the parallelogram is L inches, and the actual length of the shorter side is S inches.
Given that in Tiyane's scale drawing, the longer side is 22.5 inches, we have:
22.5 / L = scale factor
Since a parallelogram has opposite sides that are equal in length, the scale factor of the longer side would be the same as the scale factor of the shorter side.
Therefore, to find the length of the shorter side in Tiyane's scale drawing, we can use the same scale factor.
S = (22.5 / L) * S
Since the longer side is 22.5 inches in the drawing, we need to determine the actual length of the longer side (L) based on the scale factor.
If the scale factor is 1, meaning 22.5 inches in the drawing is equivalent to 1 unit in the actual length, then the actual length of the longer side would be 22.5 / 1 = 22.5 inches.
Given that the actual parallelogram has opposite sides that are equal in length, the length of the shorter side would also be 22.5 inches.
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 22.5 inches.
Out of the given options, the closest answer is 2.5 inches.