Questions: The area of an 18-cm-wide rectangle is 378 cm^2. What is its length? The length is cm.

The area of an 18-cm-wide rectangle is 378 cm^2. What is its length?

The length is  cm.
Transcript text: The area of an $18-\mathrm{cm}$-wide rectangle is $378 \mathrm{~cm}^{2}$. What is its length? The length is $\square$ cm.
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Solution

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Solution Steps

To find the length of the rectangle, we can use the formula for the area of a rectangle, which is given by the product of its width and length. We know the area and the width, so we can solve for the length by dividing the area by the width.

Step 1: Identify the Formula for the Area of a Rectangle

The area \( A \) of a rectangle is given by the formula: \[ A = \text{width} \times \text{length} \]

Step 2: Substitute Known Values

We are given the area \( A = 378 \, \text{cm}^2 \) and the width \( \text{width} = 18 \, \text{cm} \). Substituting these values into the formula, we have: \[ 378 = 18 \times \text{length} \]

Step 3: Solve for the Length

To find the length, divide both sides of the equation by the width: \[ \text{length} = \frac{378}{18} = 21.0 \, \text{cm} \]

Final Answer

\(\boxed{21 \, \text{cm}}\)

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