Answer:
Sara is correct because when you do it out you get a negative first coefficnt
Step-by-step explanation:
Foil both out and see
Answer:
The problem has no real solution, because the area of inside of the frame is bigger than the total area of the frame.
Step-by-step explanation:
Any way here is the mathematical explanation/solve to this statement.
As show in the graphic, there is a representation of the situation stated in the problem. So in order to calculate the area we have the next equation as a function of x.
Area:
![A=b*h= (6+2x)(11+2x)\\\\A=28=66+12x+22x+4x^2}\\\\Simplifing\\\\4x^2+34x+38=0\\\\](https://tex.z-dn.net/?f=A%3Db%2Ah%3D%20%286%2B2x%29%2811%2B2x%29%5C%5C%5C%5CA%3D28%3D66%2B12x%2B22x%2B4x%5E2%7D%5C%5C%5C%5CSimplifing%5C%5C%5C%5C4x%5E2%2B34x%2B38%3D0%5C%5C%5C%5C)
Solving the equation to find the roots (values of x):
![x=\frac{-b+- \sqrt{b^2-4ac} }{2a}=\frac{-34+-\sqrt{546} }{8} \\\\solving\\\\x=-7.2\\\\x=-1.3\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%3D%5Cfrac%7B-34%2B-%5Csqrt%7B546%7D%20%7D%7B8%7D%20%20%5C%5C%5C%5Csolving%5C%5C%5C%5Cx%3D-7.2%5C%5C%5C%5Cx%3D-1.3%5C%5C)
So mathematically there is no real answer, since x is a width must be positive number. And practically the outer area must be bigger than the inner area, and the inner area is given by 6 times 11, or 66
.
The ratio is 5:17
5 is cucumber 17 is 12+5