Area = L * W Area = (2W + 3)*W Area = 2W^2 + 3W The area is also 77 So Area = 2w^2 + 3W = 77 Area = 2w^2 + 3W - 77 = 0 Now factor the question 77 can only factor into 1,77 which is highly unlikely and 7 and 11 As a guess I'm going to try 7. It that's true, we get (x + 7)(2x - 11) = 0 This might work. x^2 + 14x - 11x - 77 = 0 x^2 + 3x - 77 = 0 So the factoring is correct.
x + 7 = 0 x = - 7 2x - 11 = 0 2x = 11 x = 11/2 x = 5.5 W = 5.5 <<<< Answer
The minus seven is meaningless. Width = 5.5 Length = 2*5.5 + 3 Length = 11 + 3 Length = 14 <<<< answer
Now we have to check the area. Area = L * W Area = 14 * 5.5 Area = 77. You have a complete answer.
