We know that the perimeter is 44, and perimeter is 2l + 2w.
2l + 2w = 44
We also know that the length, which I will call l, is three times the width, which I will call w.d
l = 3w
Let's rearrange this so it matches the first equation.
l - 3w = 0
Now we can set up a system of equations:
2l + 2w = 44
l - 3w = 0
Multiply the second equation by -2 so we can get the l's to cancel
2l + 2w = 44
-2l + 6w = 0
Now add them together and solve for w.
8w = 44
w = 5.5
Knowing w, we can solve for l using either original equation.
l = 3w
∴ l = 3(5.5)
l = 16.5
To check this, we can substitute the numbers back into the original equation:
2(16.5) + 2(5.5) = 44
16.5 = 3(5.5)
So the dimensions of the rectangle are 16.5 x 5.5
