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find the area of this rhombus. \\(h = 5\\text{ m}\\) \\(b = 7\\text{ m}…

Question

find the area of this rhombus.
\\(h = 5\text{ m}\\)
\\(b = 7\text{ m}\\)

Explanation:

🆕 New Concept Discovered: Area of a Rhombus
Calculating space inside a slanted four-sided shape.

Step 1: Identify the formula

A rhombus is a special type of parallelogram where all four sides are equal in length. Because it is a parallelogram, we can find its area by multiplying its base by its height:

$$ \text{Area} = b \times h $$

where:

  • \( b \) is the length of the base.
  • \( h \) is the perpendicular height.

Step 2: Substitute the given values

From the problem, we are given:

  • Height \( h = 5\text{ m} \)
  • Base \( b = 7\text{ m} \)

Substitute these values into the formula:

$$ \text{Area} = 7\text{ m} \times 5\text{ m} $$

Step 3: Calculate the final area

Multiply the numbers to find the area:

$$ \text{Area} = 35\text{ m}^2 $$

Answer:

35