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The perimeter is the total of all the sides added up, which is two lengths and two widths. We can write the equation

66 = 2w + 2ℓ

where 66 is perimeter, w is width, and ℓ is length. We can also write equation

ℓ = 3w

because the length is three times greater than the width. We can replace ℓ with 3w in the first equation because the second equation tells us they are the same thing:

66 = 2w + 2*(3w)

Now we have an equation with one variable, so we can solve for that variable (w):

66 = 2w + 2*(3w)

66 = 2w + 6w

66 = 8w

Divide both sides by 8:

8.25 = w

The width is 6.6. We can plug that 6.6 into the equation ℓ = 3w to find the length:

ℓ = 3*8.25

ℓ = 24.75

The length is 24.75.

So the width is 8.25 and the length is 24.75.

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