Example Question #1 : Geometry
If a rectangle possesses a width of and has a perimeter of , then what is the length?
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is
Example Question #2 : Geometry
The figure represents a set of supplementary angles, solve for .
Supplementary angles are defined as two angles that when added together equal
From the question, we know that the two angles are supplementary, and thus equal , so we can set up the following equation:
Next we can solve for :
Example Question #3 : Geometry
What is the area of the circle provided?
In order to solve this problem, we need to recall the formula for the area of a circle:
The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:
Now that we have the radius we can use the formula to solve: