Question

A rectangular sheet of area $\frac{1}{2}$ sq ft is cut into smaller rectangular pieces of $\frac{1}{6}$ sq ft.
The number of pieces obtained is .

• A. 2
• B. 3
• C. 4
• D. 6

Answer 1

The correct option is B 3

Given:
Area of the large rectangular sheet
= $\frac{1}{2}$ sq ft
Area of the small rectangular pieces
= $\frac{1}{6}$ sq ft

We know that,
Area of larger sheet = Number of small rectangular pieces $\times$ Area of each small rectangular piece

$\Rightarrow$ $\frac{1}{2}$ = $n\times \frac{1}{6}$

$\Rightarrow$ $\frac{1}{2}÷\frac{1}{6}$ = $n\times \frac{1}{6}÷\frac{1}{6}$

Using division rule and reciprocating the fraction,
$\frac{1}{2}\times \frac{6}{1}$ = $n$
$\Rightarrow$ $n$ = 3

Therefore, there are 3 smaller pieces.