Question

Urgent, please help! I’ll give 5 stars if answering.

Geometry - Area with similar quadrilaterals

Answer 1

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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