A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides. Let x = length of a short side
Let y = length of a long side

The system of equations can be used to represent the situation.

y = x + 2
2x + 3y = 36

What is the length of one of the shorter congruent sides?

The shorter side of pentagon is 6cm long

Step-by-step explanation:

Given two equations are:

We can use any one of the methods to solve the simultaneous linear equations

As it is also given that x is the length of shorter side, we have to find the value of x

Using the substitution method

We will put the value of y i.e. x+2 in the 2nd equation

So,

Simplification gives us:

Hence,

The shorter side of pentagon is 6cm long

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event