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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’

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frika

Answer:

[tex]P_{R'J'M'}=36\ un.\\ \\A_{R'J'M'}=54\ un^2.[/tex]

Step-by-step explanation:

Given:

[tex]A_{RJM}=6\ un^2.\\ \\P_{RJM}=12\ un.[/tex]

If the triangle is dilated by a scale factor of [tex]k=3[/tex] centered at the origin, then

[tex]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.[/tex]

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