Question

a man decides to create a vegetable garden. He buys 100m of wire netting to fence off a rectangular area from the kangaroos. There is already an existing fence on one side of the rectangle, so the 100m of wire netting is for the other 3 sides.If x is the width of the rectangular garden, write an expression for the length of the garden in terms of x.

Answer 1

It depends on what you are calling the width. Make your diagram...

If w is the width of the garden parallel to the existing fence, then there are two other sides of length y. So,
w+2y = 100
y = (100-w)/2

If w is one of the two sides perpendicular to the fence, then there is only one other side, with length y. So,
2w+y = 100
y = 100-2w