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!?

Question

cwrw238 · Answer

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

cwrw238 · Answer

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

anonymous · Answer

THANX:) but multiply what though?

cwrw238 · Answer

1000 by  25

anonymous · Answer

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

cwrw238 · Answer

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

cwrw238 · Answer

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

anonymous · Answer

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

cwrw238 · Answer

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

anonymous · Answer

so 1000 x 28 ?