Question

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′?

Answer 1

Answer:

$K'M'P'T = \frac{3}{4}x$

Step-by-step explanation:

Given

Quadrilateral KMPT

$k = \frac{3}{4}$ ---- scale factor

$KMPT = x$ --- 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:

$K'M'P'T = k * KMPT$

$K'M'P'T = \frac{3}{4} *x$

$K'M'P'T = \frac{3}{4}x$