Anthony has two ribbons. One is 12 inches long and the other is 20 inches long. He wants to cut the ribbons into smaller strips that are all equal in length. What is the greatest length he can make each strip if he wants to use all the ribbon

inches.

Step-by-step explanation:

Length of first ribbon inches.

Length of second ribbon inches.

To find the greatest length he can make of smaller strips that are all equal in length, we need to find the H.C.F of the two numbers.

For H.C.F, we will take the product of all the common factors in the prime factorization of the two numbers.

H.C.F

So, he can cut three inches ribbons from the inches ribbon and five inches ribbons from the inches ribbon.

Hence, the greatest length he can make of smaller strips that are all equal in length is inches.

10 you would take 50/ .2

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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