Dawn is trying to find a dimensions of parallelogram. she knows that the base is one unit less than twice the height of the shape. the area is 91 square units. how long are the base and height?

In this problem, try to form equation(s) that follow the problem. I formed one equation using the second sentence:



Since it is a parallelogram, the area formula is base * height or length*width. It tells us that the area is 91 square units. You can form another equation here.



Now, you can form a system of linear equations. You have two equations now. 



I would use substitution to solve. When you use substitution, you will get a quadratic equation. The roots of that are 7 and -13/2. Since a length cannot be negative, it will be 7. So 7 is the height.

Now that you have the height, you can find the base. The base is 13. Now, let's check our answer to ensure we were correct. It says that the base is one unit less than twice the height of the shape. One unit less of twice the height is 13. Also, the area of the base and height is 91 units. This means that we are correct.