Question

If a rectangle has a perimeter of 40 meters, then the relation between its length and width is:

• A. $\text{length + width}=20$
• B. $\text{length + width}=200$
• C. $\text{length + width}=10$
• D. $\text{length + width}=40$

Answer 1

The correct option is A $\text{length + width}=20$

Given, the perimeter of the rectangle $=40$ meters

The perimeter of a rectangle is given by $\text{2}\times \text{(length + width)}$.
$\therefore \text{2}\times \text{(length + width)}=40$
Divide both sides by 2
$\Rightarrow \frac{\text{2}\times \text{(length + width)}}{2}=\frac{40}{2}$
$\Rightarrow \text{length + width}=20$
Hence, option (a.) is the correct choice.