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

Answer:

$P_{R'J'M'}=36\ un.\\ \\A_{R'J'M'}=54\ un^2.$

Step-by-step 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

$P_{R'J'M'}=k\cdot P_{RJM}=3\cdot 12=36\ un.\\ \\A_{R'J'M'}=k^2\cdot A_{RJM}=3^2\cdot 6=9\cdot 6=54\ un^2.$