Question

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. if 370 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden. what is the length of the​ garden?

Answer 1

The length of this garden is 61.666666666 forever.

Answer 2

111 Feet

Explanation:

The feet of antique picket fencing are to be used to enclose the​ garden is equivalent to the perimeter of the flower garden.

The perimeter P of a rectangle whose length is L and width is W is given as

P = 2( L + W)

Given that the width is exactly​ two-thirds of the length

then, W = 2/3 L and P = 370 feet

L = 3/2 W = 1.5W

370 = 2 ( 1.5W + W)

370 = 5W

W = 370/5

= 74 Feet

L = 1.5W

= 1.5 * 74

= 111 Feet