Answer:
a. 3/2 meters
b. 15/4 times as great
Explanation:
You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.
a. Width
The formula for the area of a rectangle is ...
A = LW
Filling in the known values, we can solve for the length:
3/5 m² = (2/5 m)·L
L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L
The length of the rectangle is 3/2 meters.
b. Aspect ratio
The ratio of length to width is ...
length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4
The length is 15/4 times greater than the width.