Question

Triangle RJM has an area of 6 and a perimeter of 12. If the triangle is dilated by a scale factor of 3 centered at the origin, what are the area and perimeter of its image, triangle R’J’M’

Answer 1

`P_(R'J'M')=36\ un.\\ \\A_(R'J'M')=54\ un^2.`

Explanation:

Given:

`A_(RJM)=6\ un^2.\\ \\P_(RJM)=12\ un.`

If the triangle is dilated by a scale factor of
`k=3` centered at the origin, then

`P_(R'J'M')=k\cdot P_(RJM)=3\cdot 12=36\ un.\\ \\A_(R'J'M')=k^2\cdot A_(RJM)=3^2\cdot 6=9\cdot 6=54\ un^2.`