An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. of 350350 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden

For this problem, the total length of fencing is equivalent to the perimeter of a rectangle. The formula for the perimeter of a rectangle is written below:

P = 2L + 2W
where L and W are the length and width dimensions

From the relationship described,
P = 350,350 ft
W = 2/3 L
Substituting this to the perimeter equation:

350,350 = 2L + 2(2/3 L)
Solving for L,
L = 105,105 ft
W = (2/3)(L) = (2/3)(105,105) = 70,070 ft