Question

solve for b.
\\(\frac{a}{b} = \frac{h}{5}\\)

b =

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{A}{b}=\frac{h}{5}\), cross - multiplying (which is based on the property of proportions: if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)) gives us \(A\times5=b\times h\), or \(5A = hb\).

Step2: Solve for \(b\)

To isolate \(b\), we divide both sides of the equation \(5A = hb\) by \(h\) (assuming \(h
eq0\)). So, \(b=\frac{5A}{h}\).

Answer:

\(\frac{5A}{h}\)