Question

A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. garden bordered by a river Opens externally What dimensions would guarantee that the garden has the greatest possible area? shorter side: 0 Incorrect ft (feet) longer side: 920 Incorrect ft (feet) greatest possible area: 0 Incorrect ft2 (square-feet)

Answer 1

splitting it evenly among all three sides gives us the greatest area. ( for example if we had to split the number 10 into 2 and find the greatest area, out of all possible ways 5*5 is the greatest). Two sides have to be equal since it's a rectangle.

918/3=306

So we can make the two equal sides 306, and the longer side 308 which makes sure that we have the greatest area.

306 * 308

Explanation: