The area of a rectangle is 1,176 square meters. The width of the rectangle is 21 meters. What is the length of the rectangle?

Understand the Problem

The question is asking to find the length of a rectangle when the area and width are provided. To solve this, we will use the formula for the area of a rectangle, which is Area = Length × Width, and rearrange it to find the length.

Answer

The length of the rectangle is $ 56 $ meters.

Steps to Solve

Identify the area and width The area of the rectangle is given as 1,176 square meters and the width is given as 21 meters.
Write the area formula The formula for the area of a rectangle is given by:

$$ \text{Area} = \text{Length} \times \text{Width} $$

Substituting the values we have:

$$ 1,176 = \text{Length} \times 21 $$

Rearrange the formula to solve for length To find the length, rearrange the formula:

$$ \text{Length} = \frac{\text{Area}}{\text{Width}} $$

Substituting the values:

$$ \text{Length} = \frac{1,176}{21} $$

Calculate the length Now, perform the division:

$$ \text{Length} = 56 $$

The length of the rectangle is ( 56 ) meters.

More Information

In this problem, we applied the basic formula for the area of a rectangle. Understanding how to rearrange the formula and perform division is key when solving for unknown dimensions in geometric shapes.

Tips

Dividing incorrectly: Ensure that you perform division accurately when calculating the length.
Using the wrong units: Always keep track of the units you are working with (meters in this case) to avoid confusion.

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