Question

A farmer has a quadrilateral parcel of land with a perimeter of 700 feet. Two opposite angles of that parcel of land are right angles, while the remaining two are not. The farmer wants to do organic farming on that parcel of land. The cost of organic farming on that parcel of land is Rs. 400 per square foot.
Consider the following two additional pieces of information:
1. The length of one of the sides of that parcel of land is 110 feet.
2. The distance between the two corner points where the non-perpendicular sides of that parcel of land intersect is 265 feet.
To determine the amount of money the farmer needs to spend to do organic farming on the entire parcel of land, which of the above additional pieces of information are MINIMALLY SUFFICIENT?

• A. Either of I or II, by itself
• B. II only
• C. The amount cannot be determined even with the additional pieces of information.
• D. I only
• E. I and II together only

Hint:

Understanding the geometry of the land, and knowing either a side length or distance between two corner points, can be sufficient to compute the area and the cost.

Answer 1

The Correct Option is A

Step 1: Assess the initial datum.
With a side length of 110 feet provided, the land's area can be determined using this length and the given perimeter.
Step 2: Assess the secondary datum.
Given the distance between corner points, trigonometry or geometry can be employed to compute the land's area.
Conclusion: Both pieces of information individually suffice for calculating the area and subsequently, the cost of organic farming.
Final Answer: \[ \boxed{\text{(A) Either of I or II, by itself}} \]