Question

The cost of enclosing a rectangular garden with a fence all round, at the rate of $75$ paise per meter, is Rs. $300$. If the length of the garden is $120$ meters, find the area of the field in square meters.

• A. $9600$ sq. m
• B. $4600$ sq. m
• C. $9200$ sq. m
• D. $4800$ sq. m

Answer 1

The correct option is A $9600$ sq. m

The cost of enclosing a rectangular garden with a fence all round, at the rate of $75$ paise per metre, is Rs. $300$
Thus, perimeter of the rectangular garden $=\frac{300}{0.75}$
$=400m$
Perimeter of a rectangle $=2(\text{length}+\text{breadth})$
$\therefore 2(l+b)=400$
$\Rightarrow 2(120+b)=400$
$\Rightarrow 120+b=200$
$=>b=80m$
Thus, area of the rectangle $=80\times 120$
$=9600$ sq. m