Laila baked 24 brownies and 36 cookies for a bake sale. She wants to put the same number of cookies and the same number of brownies in each bag. What is the greatest number of bags she can make? Your

4 bags

72 bags

6 bags

12 bags

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+

25.45584

about 0.75 hours

step-by-step explanation:

they would have to work 32 hours.