Question

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

• A. $9600sq.m$
• B. $8400sq.m$
• C. $7500sq.m$
• D. None of these

Answer 1

Answer: (A)

$9600sq.m$

The cost of enclosing a rectangular garden with a fence all around, at the rate of $75$ paise (= $0.75$ rupee) per meter, is Rs.$300$.

Thus, the perimeter of the rectangular garden $=\frac{300}{0.75}$$=400$ m

Perimeter of a rectangle $=2(length+breadth)$

$\therefore 2(length+breadth)=400$

$\Rightarrow 2(120+breadth)=400$

$\Rightarrow 120+breadth=200$

$\Rightarrow breadth=80$ m

Thus, the area of the rectangle $=\ell \times b=80\times 120$

$=9600$ sq. m