Question

The length of a rectangle is twice its breadth. If its perimeter is $72m$ then its length is $24m$

• A. True
• B. False

Answer 1

Answer: (A)

Given:

The length of a rectangle is twice its breadth.

Let breadth be $x$.

$\Rightarrow$ Length $=2x$

It is given that, Perimeter of rectangle is $72m$.

Since, Perimeter of rectangle $=2(\text{Length}+\text{Breadth})$

$\Rightarrow 2(x+2x)=72m$

$\Rightarrow 2\left(3x\right)=72m$

$\Rightarrow 6x=72m$

$\Rightarrow x=\frac{72m}{6}$

$\Rightarrow x=12m$

$\Rightarrow$ length $=2x=2\times 12m=24m$

Hence, the given statement is True.