the ?perimeter ?of ?patio ?is 6 4 feet. ?the ?width ?of ?the ?patio ?is 1 2 f e e t and ?the ?length ?of ?the ?patio ?is ( x + 6 ) x f e e t

Question

I need help with solving equations 

Answer 1

If you are looking for the value of x in this situation, you must first remember what perimeter and area formulas are. 

You find the perimeter by adding the length of each of the 4 sides together. You find the area by multiplying the length times the width.

 

In this case, the perimeter we know is 64 feet. The width is 12 feet. The length is x + 6. 

 

You can set this up as the equation:

 

2(x+6) + 2(12) = 64

 

We know that the perimeter is all sides added together, so we can multiply both sides by two (since they should be equal to their opposite side) and then add these two numbers together. Solve as follows by distributing and then simplifying:

 

2(x+6) + 2(12) = 64

2(x+6) + 24 = 64

2x + 12 + 24 = 64

2x + 36 = 64

     - 36     -36

2x = 28 

/2      /2 

x = 14

 

So the missing side was equal to x + 6. If x is 14, then you add 6 to this to find the length of the side as 20 feet.