Question

The length of a rectangle is twice its breadth. What is the length and breadth of the rectangle if its perimeter is 6 cm?

• A. 2cm, 1cm
• B. 1cm, 2cm
• C. 3cm, 2cm
• D. 2cm, 2cm

Answer 1

The correct option is A 2cm, 1cm

Let the breadth of the rectangle be $x.$
Hence length will be $2x$ (twice of breadth)
Perimeter of rectangle = 2( length x breadth)
Given perimeter = 6 cm , breadth = x , length = 2x
$⟹2(2x+x)=6$
i.e., $2(2x+x)=6$
$⟹6x=6$
$⟹x=1$
Thus, the length of the rectangle = 2x = 2 cm and
breadth of the rectangle = x = 1 cm.