Given 2 similar polygons with scale factor 5:7 and the perimeter of the larger polygon are 490 inches, find the perimeter of the smaller polygon.

Question

Mathematics

Nash Barton

7 January, 04:48

Given 2 similar polygons with scale factor 5:7 and the perimeter of the larger polygon are 490 inches, find the perimeter of the smaller polygon.

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Answers (1)

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Peep · Answer 1

350 inches

Step-by-step explanation:

The 7 "ratio units" represent 490 inches, so each represent 490/7 = 70 inches. Then 5 "ratio units" will represent 5*70 inches = 350 inches.

smaller perimeter : larger perimeter

= 5 : 7

= (350 inches) : (490 inches)