A square has 4 congruent side lengths. This means that each side will be the same length. Therefore, we can set the two lengths equal to each other.
Isolating a variable: rearranging an equation so that the variable is by itself
- done by performing inverse operations
3 Step Solving process:
1. Collect like terms
2. Perform inverse operations
3. Simplify if necessary
The value of x = 3
The perimeter can be found by adding all of the side lengths. A square has 4 sides.
a + a + a + a = P
However, we know that a square has congruent sides so we can manipulate this formula:
4a = P - where a is equal to the side length
Using a previous equation we know that a side length is equal to 2x and we know the value of x, to be 3. Therefore, a side length must be 6.
we can now input the value of the side length into the formula.
The perimeter of the square is 24.