Question

10. The perimeter of the table shown is 16 feet. Write an equation in

the form px + q=r to solve for x.

Answer 1

Explanation:

2(3 + x)

Answer 2

p = 2

q = 6

r = 16

x = 5 feet

Explanation:

The perimeter of the rectangle is

`P=2(\text{Width}+\text{Length})`

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

`P=2(3+x)\\ \\P=6+2x`

Since the perimeter is 16 feet, we have

`2x+6=16`

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

`2x+6-6=16-6\\ \\2x=10\\ \\x=(10)/(2)=5\ feet`