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

Answer:

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

Step-by-step 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:  $P=28x+7$