We need a flower garden with a perimeter of 16 feet and an area of 12 square feet what is the length and width.

Length = 2 feet

Width = 6 feet

Step-by-step explanation:

Let the length of a flower garden = l feet

And the width of the garden = w feet

Perimeter of the rectangular garden = 2(l + w)

16 = 2(l + w)

l + w = 8

l = 8 - w (1)

Area of the rectangular garden = lw

12 = lw (2)

By substituting the value of length in equation (2)

12 = (8 - w)w

12 = 8w - w²

w² - 8w + 12 = 0

w² - 6w - 2w + 12 = 0

w(w - 6) + 2(w - 6) = 0

(w + 2)(w - 6) = 0

w = -2, 6 feet

Since, width of the garden can't be negative.

Therefore, Width of the garden = 6 feet

From equation (1)

l = 2 feet

Therefore, length of the garden is 2 feet and width is 6 feet.