Questions: 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.
Solution
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:
\[
\text{length} = \frac{378}{18} = 21.0 \, \text{cm}
\]