Respuesta :

Answer:

122.5 units.

Step-by-step explanation:

The proportion would be between the permiters and the given ratio:

[tex]\frac{7}{2}=\frac{P}{p}[/tex]

Where [tex]P[/tex] is the perimeter of the bigger figure and [tex]p[/tex] is the perimeter of the smaller figure.

Remember that the perimeter is the sum of all sides, using all given values and solving for [tex]P[/tex], we have

[tex]\frac{7}{2}=\frac{P}{9+5+9+12}\\\frac{7}{2}=\frac{P}{35}\\  \frac{7(35)}{2}=P\\ P=\frac{245}{2}=122.5[/tex]

Therefore, the permiter of Figure A is 122.5 units.

The perimeter is the sum of all sides of the given shape, so according to the scale factor, the perimeter of the Figure A is 122.50 units.

Given information:

The scale factor of fig. A to fig. B is 7:2

As, the proportion would be between the perimeters

So,

[tex]\frac{P_A}{P_B} =\frac{7}{2}[/tex]

Now, we know that the perimeter is the sum of all sides of the given shape

Hence taking the values from the given figure and putting in the above expression

we get,

[tex]\frac{P_A}{9+5+9+12} =\frac{7}{2} \\\\P_A=(7\times 35)/2\\P_A=2456/2\\P_A=122.50 \;\text {units}[/tex]

Hence, the perimeter of the Figure A is 122.50 units.

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