Question

The product of the base and height of a rectangle is the area. Can this statement be represented as variation for the base and height? (Hint: Treat the area as a constant.)

yes or no

Answer 1

`\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{area of a rectangle}\\\\ A=bh\quad \begin{cases} b=base\\ h=height \end{cases}\implies \cfrac{A}{b}=h~~or~~\cfrac{A}{h}=b\quad \begin{array}{llll} A=constant~of\\ \qquad variation \end{array}`