Answered

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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 Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.

Sagot :

olayemiolakunle65

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 = [tex](linear scale factor)^{2}[/tex]

linear scale factor = [tex]\sqrt{Area scale factor}[/tex]

Area scale factor = [tex]\frac{98}{18}[/tex]

So that,

linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]

                              = 2.3333

The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]

                                       = 6.0085

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

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