So the perimeter is 2 * length + 2 * width.
So we can assign the width a variable, x, and then for length, 5x, because it's five times the width, or x.
So, 2 * 5x + 2 * x
Or 10x + 2x
12x
Since that equals 96,
12x = 96
/12 /12
x = 8
Area is length times width.
Length is 5x, and width is x.
So basically, 5x * x = area
Or, if you substitute the variable in:
5 * 8 * 8
320 square feet