Question

polygon v has an area of 1 square unit. jun-seo drew a scaled version of polygon v using a scale factor of 7 and labeled it polygon w. what is the area of polygon w? \boxed{} square units

Explanation:

Step1: Recall the scale factor for area

When a figure is scaled by a scale factor \( k \), the area of the scaled figure is the area of the original figure multiplied by \( k^2 \). Here, the scale factor \( k = 7 \).

Step2: Calculate the area of Polygon W

The area of Polygon V is \( 1 \) square unit. So the area of Polygon W is \( 1\times7^2 \).
Calculating \( 7^2 = 49 \), so \( 1\times49 = 49 \).

Answer:

49