Answer:
[tex]length = 11ft \\ width = 9ft[/tex]
Step-by-step explanation:
Let the wide be x
length = x+2
Area = Length * width
[tex]99 = x(x + 2) \\ [/tex]
Now let's solve the expression and find the width
[tex]x(x + 2) = 99 \\ {x}^{2} + 2x = 99 \\ {x}^{2} + 2x - 99 = 0 \\ {x}^{2} + 2x = 99 \\ {x}^{2} + 2x + 1 = 99 + 1 \\ {(x + 1)}^{2} = 100 \\ x + 1 = \sqrt{100} \\ x + 1 = ±10 \\ x = ±10 - 1 \\ \\ x = + 10 - 1 \\ = 9 \\ \\ x = - 10 - 1 \\ = - 11[/tex]
As a negative number cannot be get as a length
We have to get the positive number as the length
so,
[tex]x = 9ft[/tex]
[tex]x + 2 = 9 + 2 \\ = 11ft[/tex]
hope this helps you.
let me know if you have another questions :-)
