rectangle P’R’S’T is a dilation of rectangle PRST and scale factor is 3. write an equation for the perimeter of P’R’S’T if the o

Question

kumpel [21]

2 years ago

6

rectangle P’R’S’T is a dilation of rectangle PRST and scale factor is 3. write an equation for the perimeter of P’R’S’T if the o

riginal sides of the rectangle were x and y

Mathematics

1 answer:

wariber [46] · Answer 1 · 2022-05-17T11:33:22+03:00

The perimeter formula for the original PRST rectangle is:
P = 2x + 2y
To find the perimeter formula of the rectangle P'R'S'T we must use the scale factor and substitute in each dimension.
We have then:
P '= 2 (3x) +2 (3y)
Rewriting:
P '= 6x + 6y
P '= 6 (x + y)
Answer:
An equation for the perimeter of P'R'S'T is:
P '= 6 (x + y)