The length of a rectangle is 5 less than twice its width. find the perimeter of this rectangle if its area is 273 yd2

Let the width be .

Therefore we know that the length .

We know that area is .

Therefore:



Now we can solve for the width.




We can use the quadratic formula from here where a = 2, b = -5 and c = 273.



Solving this gives us the possible answers of 13 and . Since our width can't be negative, we know the answer is 13.
Next, we can plug 13 into the formula for area to find the length.


We now know the width and length. Finally, the last thing to do is calculate the perimeter using the formula




So, the perimeter of the rectangle is 68 yards.