Question

Consider a rectangle whose perimeter is 24 cm. If its length is 6 cm, then its breadth will be _____________.

• A. two units less than its length
• B. three units less than its length
• C. two units more than its length
• D. same as its length

Answer 1

The correct option is D

same as its length

We know that if '$l$' is the length of the rectangle and '$b$' is its breadth, then its perimeter is given by

$P=l+b+l+b=(2\times l)+(2\times b)$

Given $P=24\text{cm}$ and $l=6\text{cm}$

Then,

$P=(2\times l)+(2\times b)$

$⟹b=\frac{P-(2\times l)}{2}$

i.e., $b=\frac{24-(2\times 6)}{2}=6\text{cm}$

Hence, breadth will be same as its length.