The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 204 square inches. The width of the poster is greater than 10 inches and is prime. What is the width of the poster?

The width of the poster will be 17 inches

Step-by-step explanation:

The area = 204  square inches

Note:

- both length and width are whole numbers

- The width of the poster is greater than 11 inches

- The width is a prime

The prime numbers greater than 11 are

13, 17, 19, 23, 29, ...,

all these numbers divide 204 with a remainder except for 17

Therefore, the width will be 17 inches, and the length will be 12

since 17 divides 204 into 12 places