Two friends Rohan and Dayal want to invest their money in some kind of property.
After a lot of research, they decide to buy a piece of land. Rohan comes across a
triangular piece of land costing Rs. 1000 per sq meter with the land being uniform in
length all across. The land owner offers a total sale price of Rs. 25 lakhs. Dayal comes across a square piece of land at the rate of Rs. 6000 per sq. meter. He is expected to pay Rs. 54 lakhs for the land. Who do you think is getting a better offer? What will be the boundary length of each of the fields?
Answers
Solution :-
Triangular piece of land :-
- Total sale Price = Rs. 25 lakhs.
- Rate = Rs. 1000 per sq meter .
So,
→ Area of Triangular piece of land = Total sale Price / Rate = (25,000,00/1000) = 2500 m² .
Now, since ,the land being uniform in length all across .
→ Area of Equaliteral ∆ = 2500 m² .
→ (√3/4) * (side)² = 2500
→ (side)² = 2500 * 4 / √3
→ (side)² = 10000/√3
→ (side)² = 5780.34
square root both sides ,
→ side = 76.02 m .
Similarly,
Square piece of land :-
- Total sale Price = Rs. 54 lakhs.
- Rate = Rs. 6000 per sq meter .
So,
→ Area of Square piece of land = Total sale Price / Rate = (54,000,00/6000) = 900 m² .
Now, since ,the land being uniform in length all across .
→ Area of Square = 900 m² .
→ (side)² = 900
square root both sides ,
→ side = 30 m .
Therefore, Rohan is getting a better Offer .
Learn more :-
instead of calculating the sum of a proper fraction 1/2 with its reciprocal, the difference was worked out : as a reult ...
https://brainly.in/question/26687959
Solution :-
Triangular piece of land :-
Total sale Price = Rs. 25 lakhs.
Rate = Rs. 1000 per sq meter .
So,
→ Area of Triangular piece of land = Total sale Price / Rate = (25,000,00/1000) = 2500 m² .
Now, since ,the land being uniform in length all across .
→ Area of Equaliteral ∆ = 2500 m² .
→ (√3/4) * (side)² = 2500
→ (side)² = 2500 * 4 / √3
→ (side)² = 10000/√3
→ (side)² = 5780.34
square root both sides ,
→ side = 76.02 m .
Similarly,
Square piece of land :-
Total sale Price = Rs. 54 lakhs.
Rate = Rs. 6000 per sq meter .
So,
→ Area of Square piece of land = Total sale Price / Rate = (54,000,00/6000) = 900 m² .
Now, since ,the land being uniform in length all across .
→ Area of Square = 900 m² .
→ (side)² = 900
square root both sides ,
→ side = 30 m .
Therefore, Rohan is getting a better Offer .
Learn more :-
instead of calculating the sum of a proper fraction 1/2 with its reciprocal, the difference was worked out : as a reult ...
https://brainly.in/question/26687959