Question

The length of each of the sides of a heptagon are 4x + 1. Which equation can be used to find p, the perimeter of the heptagon?

Answer 1

The equation which can be used to find p, the perimeter of the heptagon will be:
`P=28x+7`

Explanation:

As

• The length of each of the sides of a heptagon are
  `4x + 1.`

let 's' be the the length of one of the seven congruent sides of a regular heptagon.

so

`s = 4x + 1`

• As all sides of a regular heptagon have the same length.

so

The perimeter P, can be by using the following formula:

`P=7s`

`=7\left(4x+1\right)`

`\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac`

`=7\cdot \:4x+7\cdot \:1`

`=28x+7`

Therefore, the equation which can be used to find p, the perimeter of the heptagon will be:
`P=28x+7`