Question

Suppose that the length of a rectangle is twice its breadth. If the perimeter is $72$ meter, find the length and breadth of the rectangle.

• A. $12$ m and $24$ m
• B. $20$ m and $26$ m
• C. $12m$ and $21$ m
• D. $21$ m and $6$ m
• E. None of these

Answer 1

The correct option is A $12$ m and $24$ m

Let the breadth of rectangle be $x$

Thus, the length will be $2x$.

Given, perimeter $=72$ meter

Perimeter of rectangle $=2($ length $+$ breadth $)$

Therefore, $72=2(x+2x)$

$\Rightarrow 6x=72$

$\Rightarrow x=12$

Breadth of rectangle is $12$ m.

Therefore length will be $2x=2\times 12=24$ m.