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Marianna [84]
3 years ago
5

Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygo

n B has a side length of 14 feet, find the corresponding side length in Polygon A.
Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer:

6 feet

Step-by-step explanation:

Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;

Area scale factor = (linear scale factor)^{2}

linear scale factor = \sqrt{Area scale factor}

Area scale factor = \frac{98}{18}

So that,

linear scale factor = \sqrt{\frac{98}{18} }

                              = 2.3333

The length of side of polygon A = \frac{14}{2.3333}

                                       = 6.0085

Therefore, the corresponding side length of polygon A is 6 feet.

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