Answer:
7,11
Step-by-step explanation:
The width is x. x+4= the length. The area is side times side, so it’s
x × (x+4) = 77
We can simplify this to:
x × x + x × 4 = 77
x^2 + 4x = 77
x^2 + 4x - 77 = 0 This is a quadratic equation. So we can solve using the quadratic formula:
x = [tex]\frac{-4\pm\sqrt{4^2-4\cdot1\cdot-77}}{2\cdot1}[/tex] ->
[tex]\frac{-4\pm18}{2}[/tex]
[tex]\frac{14}{2} \implies7[/tex]
That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11
