Question

A $5$ m wide lawn is cultivated along the outside of a rectangular plot measuring $60$ m $\times 30$ m. The area of the lawn is _______.

• A. $1000{\text{m}}^2$
• B. $2000{\text{m}}^2$
• C. $475{\text{m}}^2$
• D. $1500{\text{m}}^2$

Answer 1

The correct option is A $1000{\text{m}}^2$

Length of inner rectangle $=60m$

Breadth of inner rectangle $=30m$

Thickness of lawn $=5m$

$\Rightarrow$ Length of outer rectangle $=60+5+5=70m$

Breadth of outer rectangle $=30+5+5=40m$

Area of lawn $=$ Area of outer rectangle $-$ Area of inner rectangle

$=70\times 40-60\times 30$

$=2800-1800$

$=1000m^2$