Question

I didn't get it :( so help me

Answer 1

`\huge\red{\boxed{\blue{\boxed{\green{\boxed{13\: feet}}}}}}`

Explanation:

to understand this:

you need to know about:

• quadratic equation
• solving quadratics
• PEMDAS

tips and formulas:

• area of rectangle=l×w

let's solve:

`(x + 8)( x + 13) = 234`

`step - 2 : slove`

1. 
   `\text{simplify} : \\ x ^(2) + 21x + 104 = 234`
2. 
   `\text{cancel \:234 \: from \: both \: sides} : \\ {x}^(2) + 21x + 104 - 234 = 234 - 234 \\ {x}^(2) + 21x - 130 = 0`
3. 
   `\text{rewrite \: 21x} : \\ {x}^(2) + 26x - 5x + 130 = 0`
4. 
   `\text{factor\: out \: x} \: and \: - \text{5 \: respectively}: \\ {x}(x + 26) - 5(x + 26) = 0`
5. 
   `\text{factor \: out \: x - 5} : \\ (x - 5)(x + 26) = 0`
6. 
   `x_(1) = 5 \\ x_(2) = - 26`

`\therefore \: x = 5 \\ and \: the\: lenth \: of \: the \: rectangle \: is \: 5 + 8 = 13`