Question

Polygon C has an area of 7 square units. Jennie drew a scaled version of Polygon C and labeled it Polygon D. Polygon D has an area of 28 square units. What scale factor did Jennie use to go from Polygon C to Polygon D?
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Answer 1

Answer:

the answer is 2

Step-by-step explanation:

The area of Polygon D is 4 times greater than the area of Polygon C.

Each side of Polygon C was multiplied by a certain value, known as the scale factor, to result in an area that is 4 times greater.

The area of a polygon created with a scale factor of x is x^2   , squared times larger than the original polygon:

scale factor x^2 =how many times larger area of scale copy is  

The area of Polygon D is 4 times greater than the area of Polygon C. Let's substitute 4 into the equation to find the scale factor.

?^2=4?  

The scale factor is 2.

Jennie used a scale factor of 2 to go from Polygon C to Polygon D.

Answer 2

The ratio between Area of D and Area of C is 28:7.

That means the simplified version is 1:4.

From our ratio, we can derive that the scale factor is 4.