Question

I didn't get it :( so help me

Answer 1

Answer:

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

Step-by-step 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:

$step - 1 : define$

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

$step - 2 : slove$

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. $x_{1} = 5 \\ x_{2} = - 26$

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