Question

Write an expression to represent the perimeter of the rectangle:.

a. 2x + 30
b. x + 45
c. 6x + 15
d. x + 15

Answer 1

A. 2x + 30


Just because

Answer 2

a. 2x + 30

Explanation:

The perimeter of a rectangle is represented by

2l + 2w

So substitute the rectangle values into the equation.

2(2/3(x) + 10) + 2(1/3(x) + 5)

Rewrite fractions for clarity.

2(2x/3 + 10) + 2(x/3 + 5)

Distribute the two into the first expression.

4x/3 + 20 + 2(x/3 + 5)

Distribute the two into the second expression.

4x/3 + 20 + 2x/3 + 10

Combine like terms.

6x/3 + 30

Simplify 6x/3.

2x + 30.