Question

Consider the rectangle of dimension $9\text{cm}\times 6\text{cm}.$

Given rectangular shaped sheet gets divided into largest possible square shaped sheets such that no part of the rectangular sheet is left.
Which of the following is perimeter of largest possible square sheet?

• A. $12\text{cm}$
• B. $3\text{cm}$
• C. $9\text{cm}$

Answer 1

The correct option is A $12\text{cm}$

To find the largest possible square from given rectangle, we need to find the GCD of length and breadth of the rectangle.

$\therefore$ The length of side of the square will be able to divide length as well as breadth of the rectangle evenly.

$6=2\times 3$
$9=3\times 3$
GCD = 3

The side of the largest possible square is $3\text{cm}.$
$\therefore$ The perimeter of square is $12\text{cm}.$