Answer:
6cm by 12cm
Step-by-step explanation:
To find a list of the possible dimensions we can factor 72, as the dimensions of the rectangle must multiply to the area of 72
1 * 72
2 * 36
3 * 24
4 * 18
6 * 12
8 * 9
Now we can use the perimeter to find which pair is the correct answer, as the dimensions must satisfy the formula 2(Length + Width) = 36 (our perimeter)
We can see that the dimensions 6 and 12 give us our area of 72, and they do make a rectangle with the perimeter 36. This means that the dimensions of the rectangle are 6cm and 12cm.
