Question

A gardener has 46ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. If the length of the garden is to be twice its width, what will be the dimensions of the garden?

Answer 1

Let the width be x, then the length is 2x
2(x + 4 + 2x + 4) = 46
(3x + 8) = 46/2 = 23
3x = 23 - 8 = 15
x = 15/3 = 5 ft

Therefore, width is 5 feet and length is 2(5) = 10 feet