Q:

a rectangle has a perimeter of 72 ft the side lengths are whole numbers what is the area

Accepted Solution

A:
Answer:Minimum area is : 1 * 35 = 35 Maximum area is : 19 * 17 = 323Step-by-step explanation:The parameter (P) of rectangle is calculated using:P = 2(a+b)We are given that,P = 72=> 2(a+b) = 72=> a+b = 36In rectangle, the lengths of both sides are different and a whole number (as mentioned in question), Therefore, the length of smaller side a can be varied from 1 to 17. Similarly, the length of larger side varies from 19 to 35. The area can be easily calculated using a*b.Minimum area is : 1 * 35 = 35 Maximum area is : 19 * 17 = 323