Question

what is the width of a rectangle with a length of $\frac{5}{6}$ feet and an area of 3 square feet? write an equation to show your work.
choose the correct equation below
○ a. $3w = \frac{5}{6}$
○ b. $\frac{5}{6}w = 3$
○ c. $w = \frac{5}{6} \cdot 3$
○ d. $w = \frac{5}{6} + 3$

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: Substitute the given values into the formula

Given \(l=\frac{5}{6}\) feet and \(A = 3\) square feet. Substituting into \(A=l\times w\), we get \(3=\frac{5}{6}\times w\), which can be written as \(\frac{5}{6}w = 3\).

Answer:

B. \(\frac{5}{6}w = 3\)