Answer:
11 cm by 15 cm
Explanation:
The perimeter is double the sum of length and width, so that sum is 26 cm. The area is the product of length and width, so you want to find two numbers whose product is 165 and whose sum is 26.
165 = 1·165 = 3·55 = 5·33 = 11·15
The numbers in the last factor pair total 26. These are the dimensions.
The dimensions are 11 cm by 15 cm.