Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (hang254):

A floor has two square-shaped designs. The area of the second square-shaped design is four times greater than the area of the first square-shaped design. Which statement gives the correct relationship between the lengths of the sides of the two squares?

OpenStudy (hang254):

The length of the side of the second square is 12 times greater than the length of the side of the first square. The length of the side of the second square is 8 times greater than the length of the side of the first square. The length of the side of the second square is double the length of the side of the first square. The length of the side of the second square is 4 times greater than the length of the side of the first square.

OpenStudy (hang254):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

which one do you think it is

OpenStudy (hang254):

The length of the side of the second square is 8 times greater than the length of the side of the first square.

jimthompson5910 (jim_thompson5910):

here's an example |dw:1344116512308:dw|

jimthompson5910 (jim_thompson5910):

imagine that the second square is 4 times larger in area

OpenStudy (hang254):

alright

jimthompson5910 (jim_thompson5910):

say the larger square is 100 sq cm and the smaller square is 25 sq cm so the larger square is 4 times larger

OpenStudy (hang254):

right. so the answer would be 'The length of the side of the second square is 4 times greater than the length of the side of the first square."

jimthompson5910 (jim_thompson5910):

what's the length of the 100 sq cm square?

OpenStudy (hang254):

100 cm

jimthompson5910 (jim_thompson5910):

that's the area, what's the length

OpenStudy (hang254):

50

OpenStudy (hang254):

10

jimthompson5910 (jim_thompson5910):

which one

OpenStudy (hang254):

10, because area = L*W, 10*10=100

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

what's the length of the 25 sq cm square? 25 is the area

OpenStudy (hang254):

5

jimthompson5910 (jim_thompson5910):

compare the two lengths now

OpenStudy (hang254):

5 is half of 10, so it's double

jimthompson5910 (jim_thompson5910):

good

OpenStudy (hang254):

Thanks

jimthompson5910 (jim_thompson5910):

np

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!