Question

Length of rectangle is three times its breadth .If the perimeter of the rectangle is 32 cm, find its length and breadth.

• A. Length=12 cm , breadth =4 cm.
• B. Length=12 cm , breadth =2 cm.
• C. Length=6 cm , breadth =4 cm.
• D. Length=12 cm , breadth =3 cm.

Answer 1

The correct option is A Length=12 cm , breadth =4 cm.

Length of the rectangle is three times its breadth.

$\therefore$ Let, the breadth be x cm , then length 3x cm.

Given, perimeter is 32 cm.

We know, perimeter. = 2 ( length + breadth )

Hence, 2 (3x + x) = 32

or, 4 x = 16 $\Rightarrow x=4$

Therefore, breadth is 4 cm. and length is 12 cm.

$\therefore$ option A is correct