190k views
5 votes
The perimeter of the pentagon below is 56 units. Find the value of x.

The perimeter of the pentagon below is 56 units. Find the value of x.-example-1
User Adayzdone
by
8.4k points

1 Answer

6 votes

Given:

The perimeter of the pentagon, P=56 units.

From the figure, the sides of the pentagon are 2x, 10, x+2, 3x-2 and 10.

The sum of sides of the pentagon is equal to its perimeter.

Hence, the perimeter can be expressed as,


\begin{gathered} P=2x+x+2+3x-2+10+10 \\ P=6x+20 \end{gathered}

Now, put P=56 in the above equation and solve for x.


\begin{gathered} 56=6x+20 \\ 56-20=6x \\ 36=6x \\ (36)/(6)=x \\ 6=x \end{gathered}

Therefore, the value of x is 6.

User Alf Eaton
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories