Triangle j is shown below. james drew a scaled version of triangle j using a scale factor of 4 and labeled it
triangle k
triangle j
what is the area of triangle k?

The area of triangle K is 16 times greater than the area of triangle J

Step-by-step explanation:

we know that

If Triangle K is a scaled version of Triangle J

then

Triangle K and Triangle J are similar

If two triangles are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

Ak ------> the area of triangle K

Aj -----> the area of triangle J

so

we have

substitute

therefore

The area of triangle K is 16 times greater than the area of triangle J

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step-by-step explanation: