an artificial lake is in the shape of a rectangle and has and area of 9/20 sq. mi. The width of the lake is 1/5 of the length of the lake. What are the dimensions of the lake?
thx geno for the answer
For a rectangle: length x width = area
Sinc the width = 1/5 the length, call the length x and the width (1/5)x
Using the area formula: x · (1/5)x = 9/20
(1/5)x2 = 9/20
Multiplty both sides by 5: x2 = 45/20 = 9/4
Find the square root of both sides: x = 3/2