If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of q?

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mathstudent55 mathstudent55 · Answer 1 · 2020-09-22T19:25:39+02:00

Answer:

The perimeter is quadrilateral Q is 3 times the perimeter of quadrilateral P.

Step-by-step explanation:

Using a scale factor of 3, every dilated side is 3 times longer then the original side. Then, the perimeter is also 3 times greater.

The perimeter is quadrilateral Q is 3 times the perimeter of quadrilateral P.

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MrRoyal MrRoyal · Answer 2 · 2021-09-17T20:51:18+02:00

The perimeter of a shape is the sum of its side lengths. The perimeter of quadrilateral Q is 186 units

The sides of quadrilateral P (see attachment) are:

[tex]Sides = \{7, 15, 15, 25\}[/tex]

So, the perimeter of P is:

[tex]P_p = 7 + 15 + 15 + 25[/tex]

[tex]P_p = 62[/tex]

Given that:

[tex]k = 3[/tex] --- the scale factor from P to Q

This means that the sides of Q are 3 times the sides of P. So, the perimeter of Q will also be 3 times the perimeter of P

So, we have:

[tex]P_Q = P_p \times k[/tex]

This gives

[tex]P_Q = 62 \times 3[/tex]

[tex]P_Q = 186[/tex]

Hence, the perimeter of Q is 186 units