Respuesta :

Greetings!

Answer:

≅ 586.8

Step-by-step explanation:

Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.

The total perimeter is:

(2 * x) + (2 * 5x) because each side has another parallel one.

This means that 2x + 10x = 130

12x = 130

Divide both sides by 12:

[tex]\frac{12x}{12} = \frac{130}{12}[/tex]

x = [tex]\frac{65}{6}[/tex]

So the area = length * width

x * 5x = area

Substitute the values in:

[tex]\frac{65}{6} * (5*\frac{65}{6})[/tex] = 586.8055... ≅ 586.8

So the approximate area is 586.8


Hope this helps!