A rectangle with an area of 96 square centimeters has whole number side lengths. What is the difference between the greatest and least perimeter of the rectangles

154 cm

Step-by-step explanation:

We are given that

Area of rectangle=A=96 square cm

We have to find the difference between the greatest and least perimeter of the rectangles.

Let

Length of rectangle,l=x

Breadth of rectangle.b=y

Area of rectangle=

Factors of 96 are

1,2,3,4,6,8,12,16,24,32,48,96

Perimeter of rectangle,P=

When x=96 an y=1

P=

When x=48 and y=2

When x=24 and y=4

When x=16 and y=6

When x=12 and y=8

When  x=32 and y=3

Greatest perimeter of rectangle=194 cm

Least perimeter of rectangle=40 cm

Difference between the greatest and least perimeter of the rectangles=194-40=154 cm

a

step-by-step explanation:

greater than one

step-by-step explanation: