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

Answer:

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step 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:

$2x+6-6=16-6\\ \\2x=10\\ \\x=\dfrac{10}{2}=5\ feet$

Answer 2

Step-by-step explanation:

2(3 + x)