Question

what is the length of a rectangle with width 12 in. and area 90 in.²?
the length is \square in.
(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Recall the area formula for 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 \( A = 90 \) in² and \( w = 12 \) in. Rearranging the formula to solve for \( l \), we get \( l=\frac{A}{w} \). Substituting the given values, we have \( l = \frac{90}{12} \).

Step3: Simplify the fraction

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

Answer:

7.5