ISEE Upper Level Math : How to find the length of the side of a pentagon

Study concepts, example questions & explanations for ISEE Upper Level Math

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Example Questions

Example Question #131 : Geometry

In a pentagon in which all the angles are equal and the perimeter is 35 inches, how many inches would be the sum of 2 of the sides?

Possible Answers:

Correct answer:

Explanation:

In a pentagon in which all angles are equal, all sides will also be equal; therefore, the length of one side can be found by dividing the perimeter by 5 (the number of sides in a pentagon). Given that , the sum of 2 of the sides will be 

Example Question #132 : Geometry

If a pentagon has a perimeter of 85in, what is the length of one side of the pentagon?

Possible Answers:

Correct answer:

Explanation:

A pentagon has 5 equal sides.  We know the formula to find perimeter of a pentagon is

where a is the length of one side of the pentagon.  Now, we know the total perimeter is 85in.  Knowing this, we will substitute into the formula. We get

 

 

 

 

Therefore, the length of one side of the pentagon is 17in.

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