Answer:
637 cm²
Explanation:
You want the area of the larger of two similar pentagons, given that the area of the smaller is 13 cm². Corresponding side lengths are in the ratio 14 : 2.
Scale factor
The (14 cm) : (2 cm) ratio of corresponding sides in the two figures tells you the scale factor is 14/2 = 7. The area of the larger pentagon will be the area of the smaller, multiplied by the square of this scale factor:
(13 cm²)×7² = 637 cm²
The area of pentagon S is 637 cm².
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