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

`K'M'P'T = (3)/(4)x`

Explanation:

Given

Quadrilateral KMPT

`k = (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 = (3)/(4) *x`

`K'M'P'T = (3)/(4)x`