Question

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

Answer 1

Answer:

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