Question 722100
We want to convert to equations

The perimeter = 2l + 2w = 50

So, l + w = 25

The area = l * w = 144

Finding w in terms of l we get w = 25-l

Plugging this into the second equation, we get (25-l)(l) = 144

We get -l^2 +25l -144 = 0

Multiplying by -1 we get l^2 -25l +144

to solve this, we would find the two numbers adding to -25 and product of 144.

The two numbers are -16, and - 9

So, l is either 9 or 16. And w is either 9 or 16. 

So, l is 16 since it is bigger, and w is 9

The dimensions of the rectangle are 16 by 9