High School

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Does anybody know this?The two pentagons shown are similar if the area of the smaller pentagon is 232m^3 find the area of the larger pentagon

Does anybody know this The two pentagons shown are similar if the area of the smaller pentagon is 232m 3 find the area of the

Answer :

Answer:

(a) 362.5 m²

Step-by-step explanation:

The ratio of areas is proportional to the square of the ratio of side lengths.

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scale factor

larger/smaller = (35 cm)/(28 cm) = 5/4

area

The larger area is the square of this scale factor times the smaller area.

(5/4)²(232 m²) = 362.5 m²

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Additional comment

We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².

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