An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile.The width of the lake is 1/5 the length of the lake. What are the dimensions of the lake?

The area of a rectangle is length times width.

The given values are area = 9/20, length is x, and width is x/5. So we can put this into one whole formula.

9/20 = x(x/5)

0.45 = (x^2)/5

2.25 = x^2

x = square root of 2.25 = 1.5

So the length is 1.5 miles and width is 1.5/5 miles, or 0.3 miles.

The dimensions are 1.5x0.3