Question

Question 102.
A rectangle is divided into certain number of equal parts. If 16 of the parts, so formed represent the fraction $\frac{1}{4}$, find the number of parts in which the rectangle has been divided.

Answer 1

Let a rectangle be divided into $x$ equal parts.
Now, 16 of the parts represent = $\frac{1}{4}$
Also, 16 parts of $x$ = $\frac{16}{x}$
$\therefore$ $\frac{16}{x}$ = $\frac{1}{4}$
$\Rightarrow$ $x$ = $16\times 4=64$ parts
Hence, the rectangle is divided into 64 equal parts.