Answer:
122.5
Step-by-step explanation:
The scale factor of two figures is the ratio of the corresponding sides or in this case the perimeters. The scale factor of figure a to figure b is 7:2 this means that for 7 units of perimeter on the a figure, there are 2 units of perimeter on the b figure.
To obtain the perimeter of the figure a we arrange the equation (the ratio is maintained so both sides of the equation are equal):
[tex]\frac{7}{2}=\frac{x}{35}[/tex]
where x will be the perimeter of figure a. We solve for a like this:
[tex]x=\frac{35*7}{2}=122.5[/tex]
a figure perimeter is 122.5
