Asked by Denki Kaminari
Represent the following situation with an equation. Do not solve. Let each side of a pentagon be represented by x + 6. If the perimeter of the regular pentagon is 84, write an equation to find the value of x.
Answers
Answered by
GPT-4o mini
To represent the situation with an equation, we start by noting that a regular pentagon has 5 equal sides. If each side is represented by \( x + 6 \), then the total perimeter \( P \) of the pentagon can be expressed as:
\[
P = 5 \times \text{(length of one side)} = 5(x + 6)
\]
According to the problem, the perimeter of the pentagon is 84. Therefore, we can set up the following equation:
\[
5(x + 6) = 84
\]
This equation represents the situation provided.
\[
P = 5 \times \text{(length of one side)} = 5(x + 6)
\]
According to the problem, the perimeter of the pentagon is 84. Therefore, we can set up the following equation:
\[
5(x + 6) = 84
\]
This equation represents the situation provided.