Question

polygon y has an area of 11 square units. celia drew a scaled version of polygon y using a scale factor of 3 and labeled it polygon z. what is the area of polygon z? square units

Explanation:

Step1: Recall the area - scale factor relationship

If the scale factor of two similar polygons is \(k\), the ratio of their areas is \(k^{2}\). Here, \(k = 3\).

Step2: Calculate the area of Polygon \(Z\)

Let \(A_Y=11\) (area of Polygon \(Y\)) and \(A_Z\) (area of Polygon \(Z\)). Since \(\frac{A_Z}{A_Y}=k^{2}\), substituting \(k = 3\) and \(A_Y = 11\) into the formula \(A_Z=A_Y\times k^{2}\).

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Answer:

99