Question

find the area of this parallelogram.
\\(h = 7\text{ m}\\)
\\(b = 9\text{ m}\\)
\\(c = 8\text{ m}\\)

Explanation:

🆕 New Concept Discovered: Area of Parallelograms
Multiply the base by the perpendicular height

Step 1: Identify the formula

To find the area of a parallelogram, we multiply its base by its perpendicular height. The slanted side length is not used when calculating the area.

$$ A = b \times h $$

where:

• \( b \) is the base
• \( h \) is the perpendicular height

Step 2: Substitute the given values

From the problem, we are given:

• Height \( h = 7\text{ m} \)
• Base \( b = 9\text{ m} \)
• Slant side \( c = 8\text{ m} \) (this is extra information and is not used)

Substitute the base and height into the formula:

$$ A = 9\text{ m} \times 7\text{ m} $$

Step 3: Calculate the area

$$ A = 63\text{ m}^2 $$

Answer:

63