## la 2 years ago Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1,000 earthworms. How many earthworms can he have if his square of compost has a side length that is 7 times longer? How do i solve this!?

1. cwrw238

the ratios of the areas of small to larger is the ratio of the squares of the sides so as new side is 4 * 5 = 20 ft ratio of their areas is 4^2 : 20^2 = 16 : 400 or 1 : 25

2. cwrw238

so the area is 25 times larger and now you just multiply ...

3. la

THANX:) but multiply what though?

4. cwrw238

1000 by 25

5. la

but that is not one of the answer choices...the answerchoices are a7000 b28,000 c196,000 d49,000

6. cwrw238

lets do it another way area of small square = 4*4 = 16 sq ft the side of big square is 5 times longer that smaller so its 4*5 = 20 ft and its area is 20*20 = 400 sq ft so its 400 / 16 = 25 times bigger number of earthworms = 25 * 1000 = 25,000

7. cwrw238

either the answers are all wrong or maybe you've got the question wrong

8. la

IM SOO SORRRY i had the question wrong lol its 7 instead of 5 Sorry

9. cwrw238

small area = 4*4 = 16 large area = (4*7)^2 = 28^2 so ratio is 28* 28 / 16 use your calculator to find this and then multiply by 1000

10. la

so 1000 x 28 ?