## ammy1234 3 years ago The lengths of the sides of a rectangle become 5 times greater than the original measurements. Which statement is true about the rectangle? Answer Its area becomes 5 times greater, and perimeter becomes 15 times greater. Its area becomes 15 times greater, and perimeter becomes 5 times greater. Its area becomes 25 times greater, and perimeter becomes 5 times greater. Its area becomes 5 times greater, and perimeter becomes 25 times greater.

1. Mertsj

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2. Mertsj

Which choice do you think it is?

3. ammy1234

Area 5 times greater and perimeter 15 times greater?

4. Mertsj

Do you see the area of the first rectangle is w times L ?

5. ammy1234

yeah

6. Mertsj

What is the area of the second rectangle?

7. ammy1234

25

8. Mertsj

25 wl is the area of the second rectangle. Would you agree?

9. ammy1234

sure

10. Mertsj

wl and 25 wl Which one is bigger?

11. ammy1234

25 wl..

12. Mertsj

How many times bigger is 25 wl than 1wl?

13. ammy1234

25 times bigger

14. Mertsj

15. ammy1234

Its area becomes 25 times greater, and perimeter becomes 5 times greater.

16. Mertsj

I don't think that works for the perimeter. We could try it and see.

17. ammy1234

well if its area is 25 times bigger it has to be that answer

18. ammy1234

because its the only one that states the area is 25 times bigger

19. Mertsj

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20. Mertsj

So how many times bigger is the new perimeter?

21. ammy1234

5 times bigger yeah

22. Mertsj

Yes. You see, the thing is in the case of the area, we makes the length 5 times bigger and the width 5 times bigger and then we multiply the 5w and 5l which means we have to multiply 5 times 5 and l times w. So the area becomes 25 times bigger.

23. Mertsj

But in the case of the perimeter we only add them so we don't have to multiply the 5 by the 5.

24. ammy1234

25. Mertsj

yw. Have a great weekend.

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