Answer: Length - 40 cm, Width - 6cm
Step-by-step explanation:
Let the length of the rectangle = 20x.
Then, the width of the rectangle must = 3x by the ratio given.
The area of a rectangle is the length*width, which we are given as 240.
Therefore, 20x*3x = 240
We can combine like terms:
60x^2 = 240
Divide both sides by 60:
x^2 = 4
Square root both sides:
x = ± 2.
Since the sides of a rectangle cannot be negative, x must equal to 2.
The length of the rectangle is 20x, which is 20*2 = 40.
The width of the rectangle is 3x, which is 3*2 = 6.
