Margaret is planning a rectangular garden it's length is 4 feet less than its width it's area is 170 ft.² what are the dimensions of the garden

11.19ft * 15.19ft

Step-by-step explanation:

Width = x

Length = x-4

Area = 170ft2

Area of a rectangle = Length * Width

170ft^2 = (x-4) * x

x (x-4) = 170 ... equation (1)

x^2-4x-170 = 0 ... equation (2)

Using the quadratic equation (for equation 2),

-b+-sqrtb^2-4ac/2a

from equation (2) : a=1x=1

b = - 4

c = - 170

thus, x = 4 + sq. rt696/2 = 4 + 26.38 = 30.38/2=15.19