Exercise 3 Page 398

We want to write a linear expression in simplest form for the perimeter of the following pentagon.

This pentagon has 2 sides that are (3x) yards long, 2 sides that are (2x) yards long, and one side that is (x+4) yards long. Therefore, we can write the following formula for the perimeter of our square. 2 (3x) + 2 (2x) + (x+4) Now, let's simplify the above expression.

2(3x)+2(2x) + (x+4)

Multiply

Multiply

6x+4x+(x+4)

AddTerms

Add terms

11x+4

This resulting linear expression is written in the simplest form. We also want to find the value of the perimeter if x i 3 yards. Let's substitute 3 for x in our linear expression and simplify.

11x+4

Substitute

x= 3

11( 3) + 4

Multiply

Multiply

33+4

AddTerms

Add terms

37

When x is 3 yards, the perimeter of the pentagon is 37 yards.