Math Problem Statement
If X = 8 units, Y = 4 units, and h = 3 units, then what is the area of the parallelogram shown above?
Solution
To calculate the area of a parallelogram, the formula is:
Where:
- The base is the length of one side of the parallelogram.
- The height is the perpendicular distance from the base to the opposite side.
In this case, you are provided with:
- Base (X) = 8 units
- Height (h) = 3 units
Now, plug the values into the formula:
Thus, the area of the parallelogram is 24 square units.
Would you like a more detailed explanation or have any further questions?
Here are 5 related questions you might find interesting:
- How does the area of a parallelogram differ from the area of a rectangle?
- What is the significance of the height in a parallelogram's area formula?
- How do you calculate the area of a parallelogram when the angle between the base and height is given?
- What happens to the area of a parallelogram if the base and height are both doubled?
- How would the area change if the base (X) were 6 units instead?
Tip: Always remember that the height in the parallelogram's area formula is perpendicular to the base, not the length of the slanted side.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Parallelogram Properties
Formulas
Area of a parallelogram = Base × Height
Theorems
Basic property of parallelograms: opposite sides are equal, and the height is perpendicular to the base
Suitable Grade Level
Grades 6-8
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