Question

there is a narrow rectangular plot.the length and breadth of the plot are in the ratio of 11:4 at the rate of Rs 100 per metre it will cost village panchayat rs.75000 to fence the plot. what are the dimesions of the plot

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Assumption

Ratio be p

${\boxed{\sf\:{Therefore}}}$

Length = 11p

Breadth = 4p

Using Formula :-

${\boxed{\sf\:{Perimeter\;of\; rectangular\;garden=2(l+b)}}}$

= 2(11p + 4p)

= 2 × 15p

= 30p

Given,

Rate of Rs.100 per meter it will cost village panchayat Rs. 75000

${\boxed{\sf\:{Situation}}}$

100 × Perimeter = 75000

100 × 30p = 75000

3000p = 75000

p = 25.

${\boxed{\sf\:{Hence}}}$

Length = 11p

= 275m

Breadth = 4p

= 100m

${\boxed{\sf\:{Dimensions\;of\;plot\;are\;275m\;and\;100m}}}$