Answer:
7,11
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 =
->
![(-4\pm18)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1cdqkvaucig4okppibap47a9qzqy4esgpt.png)
![(14)/(2) \implies7](https://img.qammunity.org/2022/formulas/mathematics/high-school/42jf68y0ogb2k731x5y95nu0uzkelkzvw7.png)
That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11