Question

This green rug has a perimeter of 36 feet. The length is 3 + x and the width is 5. Write an expression that can be used to find the missing value of x. Combine like terms of your equation until it is the most simplified form. What is the value of x? Explain your reasoning.

Answer 1

An equation for this would be : 36=3+x+3+X+5+5

the simplified version would be: 20=2x

The value of x = 10 feet

Explanation:

Since perimeter is all the sides added together, and 36 ft is the perimeter,

think of a rectangle, 2 sides would be 3+x and the other 2 would be 5.

thus,

36=3+x+3+x+5+5

now add all like terms and you get 36=16+2x

subtracting 16 on both sides,

20=2x

dividing by 2 both sides,

x=10 feet.