Question

what is the length of a rectangle with width 12 in. and area 90 in.²?

Explanation:

Step1: Recall the area formula of a rectangle

The area \( A \) of a rectangle is given by the formula \( A = l \times w \), where \( l \) is the length and \( w \) is the width.

Step2: Solve for length \( l \)

We know that \( A = 90 \) \( \text{in}^2 \) and \( w = 12 \) in. Rearranging the formula for \( l \), we get \( l=\frac{A}{w} \). Substituting the given values, we have \( l = \frac{90}{12} \).

Step3: Calculate the value

Simplifying \( \frac{90}{12} \), we divide 90 by 12. \( 90\div12 = 7.5 \).

Answer:

The length of the rectangle is \( 7.5 \) inches.