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:

Area=Base×Height\text{Area} = \text{Base} \times \text{Height}

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:

Area=8×3=24 square units\text{Area} = 8 \times 3 = 24 \text{ square units}

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:

  1. How does the area of a parallelogram differ from the area of a rectangle?
  2. What is the significance of the height in a parallelogram's area formula?
  3. How do you calculate the area of a parallelogram when the angle between the base and height is given?
  4. What happens to the area of a parallelogram if the base and height are both doubled?
  5. 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