Question

A rectangle is divided into certain number of equal parts. If 16 of the parts so formed represent the fraction `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 = `1/4`

Also, 16 parts of `x = 16/x`

∴ `16/x = 1/4`

⇒ x = 16 × 4 = 64 parts

Hence, the rectangle is divided into 64 equal parts.