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Quadrilateral KMPT is dilated by a scale factor of 34 to create quadrilateral K′M′P′T′. The perimeter of quadrilateral KMPT is x units. What is the perimeter in units of quadrilateral K′M′P′T′?

Respuesta :

MrRoyal

Answer:

[tex]K'M'P'T = \frac{3}{4}x[/tex]

Step-by-step explanation:

Given

Quadrilateral KMPT

[tex]k = \frac{3}{4}[/tex] ---- scale factor

[tex]KMPT = x[/tex] --- perimeter

Required: The perimeter of K′M′P′T′

To calculate the perimeter of K'M'P'T, we simply multiply the scale factor by the perimeter of KMPT

So:

[tex]K'M'P'T = k * KMPT[/tex]

[tex]K'M'P'T = \frac{3}{4} *x[/tex]

[tex]K'M'P'T = \frac{3}{4}x[/tex]