If the perimeter of a rectangle is 18cm and the area is 20cm then what is the length and with of the rectangle?
1 Answer
Explanation:
Well let's start with equations for perimeter and area of a general rectangle:
We know that we want
The top equation can even be simplified further by dividing everything by a 2 to equal this:
So now we have 2 equations and 2 unknowns, so we just need to solve the system of equations. First, solve for
Plug this in to the second equation:
Solve for
Plug these solutions back into
When
When
So the box has a width and length of 5 cm and 4 cm, it doesn't matter which one is which as long as the other is the opposite.
Hope this helped!