The length and width of the garden are 93 feet and 62 feet respectively.
<u><em>Explanation</em></u>
Suppose, the length of the rectangular garden is feet.
As the width is exactly two-thirds of the length, so the width of the garden will be: feet.
310 feet of antique picket fencing are to be used to enclose the garden. It means, <u>the perimeter of the garden is 310 feet</u>.
<u>Formula for perimeter of rectangle</u>
So, the equation will be....
So, the length of the garden is 93 feet and the width is feet.