What is the length of a rectangle with area `7 m^(2)`and breadth 2.5 m? 

Options

A. 2.5 m
B. 0.025 m
C. 25 m
D. 2.8 m

Answer

To find the length of a rectangle when the area and breadth are given, we can use the formula for the area of a rectangle:

**Step 1: Write down the formula for the area of a rectangle.**
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{Length} \times \text{Breadth} \]

**Step 2: Substitute the known values into the formula.**
We know the area \( A = 7 \, m^2 \) and the breadth \( B = 2.5 \, m \). We can substitute these values into the formula:
\[ 7 = \text{Length} \times 2.5 \]

**Step 3: Solve for the length.**
To find the length, we can rearrange the equation:
\[ \text{Length} = \frac{7}{2.5} \]

**Step 4: Perform the division.**
Now, we calculate \( \frac{7}{2.5} \):
\[ \text{Length} = \frac{7}{2.5} = 2.8 \, m \]

**Final Answer:**
The length of the rectangle is \( 2.8 \, m \).

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