Two-thirds of the T-shirts in a T-shirt shop are blue. Three-sevenths of those T-shirts are on sale. One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are
blue T-shirts that are on sale and are size medium? Explain.

1/7

Step-by-step explanation:

Of all the shirts, 2/3 of the t-shirts are blue.

Of the blue shirts, 3/7 are on sale.  Of all the shirts, 2/7 are on sale and blue.

Of the blue shirts on sale, 1/2 are size medium.  Of all the shirts, 1/7 are on sale, blue, and size medium.

i believe the answer is the polygon, heptagon.

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