given ,
Length is 6 inches longer than it’s width
So now ,
Let width be x inches
And the length be 6 + x inches
Now ,
Using perimeter of rectangle formula ,
=> 2(l+w)
=> 2 ( 6+ x + x ) = 76 ( since the perimeter is given to be 76 inches)
On solving ,
=> 2(6 + 2x ) = 76
=> 12 + 4x = 76
=> 4x = 76-12
=> 4x = 64
=> x = 16
Now ,
Width , x = 16 inches
And length , 6 + x = 6+16 = 22 inches