Question

1. what is the length of a rectangle that has a width of 8 centimeters and an area of 256 square centimeters?

the length is 32 cm.
the length is 24 cm.
the length is 8 cm.

Explanation:

Step1: Recall the area formula of a rectangle

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

Step2: Solve for the length

We know that \(A = 256\space cm^{2}\) and \(w = 8\space cm\). Rearranging the formula for \(l\), we get \(l=\frac{A}{w}\). Substituting the values, \(l=\frac{256}{8}\).

Step3: Calculate the value

\(\frac{256}{8}=32\)

Answer:

The length is 32 cm.