Is 4:9 equivalent to36:72 use a tape diagram to find the answer

I'm not sure what you mean by "tape diagram" but you can use a proportion to check. Assume that 4/9 is equal to 36/72 for now. We'll use cross multiplication to show that it's actually false.

4/9 = 36/72

4*72 = 9*36 ... cross multiply

288 = 324 ... this is false

The last equation is false because we get two different values on either side, so the first equation must be false

So 4:9 is not the same as 36:72

No, it's not equivalent because if 4*9=36 then You have to do 9*9 but 9*9 is 81 so no.