the area of a rectangle is 57 square units if the length is 2 times the width then find the dimension of the rectangle

The dimensions are 5.34 * 10.68 units to the nearest hundredth.

Step-by-step explanation:

If the width is x units then the length is 2x units.

Area = width * length

= x * 2x = 57

2x^2 = 57

x^2 = 28.5

x = 5.34 = width and

the length is 2*5.34 = 10.68.

√114 = l

√114/2 = w

Step-by-step explanation:

{l = 2w

{57 = wl

57 = w[2w]

57 = 2w²

28½ = w²

√114/2 = w [Plug this back into both equations to get a length of √114]; √114 = l

I am joyous to assist you anytime.