1.

There is a narrow rectangular plot reserved for a school in mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate rupees 100 per metre it will cost the village Panchayat rupees 75000 to fence the plot. What are the dimensions of the plot ?

Answer»

{\huge{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{AnSwEr..}}}}}}}}}

{\large{\blue{\bold{\underline{Given:-}}}}}

▪︎ Length and breadth are in ratio 11:4.

▪︎ COST of fencing one meter = Rupees 100.

▪︎ Total cost of fencing = Rupees 75000.

{\large{\blue{\bold{\underline{Now,}}}}}

▪︎ Let the length of SCHOOL be 11x.

▪︎ Let the breadth of school be 4x.

{\large{\blue{\bold{\underline{So,}}}}}

▪︎ From the question we get,

\implies \: 100 \times( 2(l + b)) = 75000 \\  \\ \implies \: 100 \times (2(11x + 4x)) = 75000 \\  \\ \implies \: 100 \times (2(15x) = 75000 \\  \\ \implies100 \times 30x = 75000 \\  \\ \implies3000x = 75000 \\  \\ \implies \: x = 75000 \div 3000 \\  \\ \implies \: x = 75 \div 3 \\  \\ \implies \: x = 25.

{\large{\blue{\bold{\underline{Therefore,}}}}}

▪︎Length,

= 11x \\  \\  = 11(25)  \\  \\  = 275m.

▪︎ Breadth,

= 4x \\  \\  = 4(25) = 100m.

Hope this will help you if it HELPS then PLZ mark my answer as BRAINLIEST.

And remember to ALWAYS keep a smile on face:D

✌✌THANKS✌✌



Discussion

No Comment Found