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