Question

1. the area of a rectangle is $\frac{1}{2}$ square inch. the length of the rectangle is $\frac{3}{8}$ inch. what is the width of the rectangle?

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. We need to solve for \(w\), so \(w=\frac{A}{l}\).

Step2: Substitute the given values into the formula

Given \(A = \frac{1}{2}\) square - inch and \(l=\frac{3}{8}\) inch. Then \(w=\frac{\frac{1}{2}}{\frac{3}{8}}\).

Step3: Divide the fractions

When dividing by a fraction, we multiply by its reciprocal. So \(w=\frac{1}{2}\times\frac{8}{3}\).

Step4: Calculate the product

\(\frac{1\times8}{2\times3}=\frac{8}{6}=\frac{4}{3}\) (simplify by dividing numerator and denominator by 2).

Answer:

The width of the rectangle is \(\frac{4}{3}\) inch.