Question

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

Answer 1

Minimum area is : 1 * 35 = 35

Maximum area is : 19 * 17 = 323

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 = 36

In 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