Answer:

Assume the width id x

So the length is 3x

The area of the rectangle (6.75) = length * width

Let's substitute

6.75 = x * 3x = 3x^2

Divide both sides by 3

6.75 /3 = x^2

2.25 = x^2

Now take square root for both sides

1.5 = x

Hence, width is 1.5 m

And since the length is trice the width, length is 1.5 * 3 = 4.5 m

Let's check the area to make sure the answer is OK

Area = 4.5 * 1.5 = 6.75 m^2 <-