Math Problem Statement
A parallelogram has an area of 12 units and a base of 9 units. What is the matching height?
Solution
To find the height of a parallelogram, you can use the formula for the area of a parallelogram:
Given that the area is 12 square units and the base is 9 units, you can substitute these values into the formula:
To solve for the height, divide both sides by 9:
So, the height is units.
Would you like further details or have any questions?
Here are some related questions you might find interesting:
- What is the formula for the area of a parallelogram when given two sides and an angle?
- How would the height change if the area were doubled but the base remained the same?
- Can the height of a parallelogram be longer than its base?
- What happens to the area if both the base and height are tripled?
- How do you find the height of a parallelogram if only the diagonals are known?
Tip: Always remember that the height in a parallelogram is the perpendicular distance from the base to the opposite side, not necessarily the side length.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Area of Parallelogram
Linear Equations
Formulas
Area of parallelogram = Base * Height
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Calculate the Height of a Parallelogram with Area 12 and Base 9
Calculate the Height of a Parallelogram Given Base and Area
Finding the Height of a Parallelogram with Area 6 sq in and Base 5 in
Calculating the Height of a Parallelogram with Base 12 inches and Area 72 Square Inches
Solving for the height of a parallelogram with area w