Math Problem Statement

Calculate the area of the parallelogram.

Solution

To calculate the area of a parallelogram, the formula is:

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

From the image:

  • The base (bb) is given as 88 units.
  • The height (hh) is given as 55 units.

Substitute these values into the formula:

Area=8×5=40square units.\text{Area} = 8 \times 5 = 40 \, \text{square units.}

Final Answer:

The area of the parallelogram is 40 square units.


Would you like a deeper explanation or have any additional questions?
Here are some related questions you might explore:

  1. How does the height differ from the side length in a parallelogram?
  2. What happens to the area if the base doubles but the height remains the same?
  3. Can a parallelogram’s area be calculated without the perpendicular height?
  4. How do you find the height if the area and base are given?
  5. How does this formula compare with that of a triangle’s area?

Tip:

The height of a parallelogram is always the perpendicular distance from the base to the opposite side—don’t confuse it with the side length!

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Math Problem Analysis

Mathematical Concepts

Geometry
Parallelograms
Area Calculation

Formulas

Area = Base × Height

Theorems

Area theorem of parallelograms

Suitable Grade Level

Grades 5-7