Question

find the dimensions of a rectangle with area 24 meters. what is its perimeter ? find the other rectangle with the same area but different dimensions. are their perimeters the same?

Answer 1

The dimensions of the rectangle are given by the area equation

`\text{Area}=l\cdot w`

The area is 24, then the dimensions will be the factors of 24. There are many possibilities for the answer, in this case, let's take the dimensions as 4 and 6 meters

Its perimeter will be

`6+6+4+4=20`

Other rectangles with the same area have different dimensions

12 and 2

Its perimeter will be

`12+12+2+2=28`

8 and 3

Its perimeter will be

`8+8+3+3=22`

24 and 1

Its perimeter will be

`24+24+1+1=50`

All these rectangles have the same area but different perimeters