Question

Pentagon ABCDE is a regular polygon. The length of side BC is represented by 3x - 4. The length of side DE is represented by the expression 4x - 9. Find the length of side AB.

Answer 1

Answer:

Length of side AB = 5

Step-by-step explanation:

A regular polygon is one in which all angles are equal and all the sides have the same length.

Now, it means that;

AB = BC = CD = DE = AE

We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.

Thus, from equal length of sides of a regular polygon, we have;

3x - 4 = 4x - 9

4x - 3x = 9 - 4

x = 5

Thus, length of BC = 3(5) - 4 = 15 - 4 = 11

Therefore, Length of AB = 5