A farmer has 260 meters of fencing and wants to enclose a rectangular area of 3600 square meters. What dimensions should he use?

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula length × width = area. For a rectangle with an area of 3600 square meters, if we let one side be x and the other be 3600/x, the perimeter (2x + 2(3600/x)) should equal 260 meters. Solving this equation directly might be complex, but option C, with dimensions 90 meters by 40 meters, gives an area of 3600 square meters (90×40=3600) and a perimeter of 260 meters (2×90 + 2×40 = 260), matching the requirements exactly.

A Farmer Has 260 Meters of Fencing and Wants to Enclose