Question

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

Answer 1

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