Divide the perimeter by 2 :
22/2 = 11, the sum of the length and with is 11 inches.
The length is 1 inch longer, so now subtract 1 and divide by 2 to geth the width:
11 - 1 = 10 / 2 = 5
The width is 5 inches, the length is 6 inches.
Now check to see if the area works: 6 x 5 = 30 square inches ( True).