A rectangle has a height to width ratio of [math]3:4.5[/math]. Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.

One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor. If not, briefly explain why.

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, [math]a[/math], to the number of legs [math]l[/math]. Elena writes [math]a=6\cdot l[/math]. Andre writes [math]l=\frac{1}{6}\cdot a[/math]. Do you agree with either of the equations? Explain your reasoning.

[math]\frac{5}{2}\cdot x=1[/math]

[math]x\cdot\frac{7}{3}=1[/math]

[math]1\div\frac{11}{2}=x[/math]

The height of the model train is 102 millimeters. What is the actual height of the train in meters? [i]Explain [/i]your reasoning.

On the scale model, the distance between the wheels on the left and the wheels on the right is [math]1\frac{1}{4}[/math] inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel on those tracks? [i]Explain [/i]your reasoning.