Sophie went to the lake with her family. First, they spent 1 1 4 hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?

The total time spent on both fishing and swimming is 3 3/4 hours

Step-by-step explanation:

Here, we are interested in knowing the total time spent on fishing and swimming.

From the question, we are made to know that the time spent fishing is 1 1/4 hours or simply 5/4 hours.

Then they spent two times of this time swimming.

The time spent swimming is thus 5/4 * 2 = 5/2 hours

So the total time spent on both swimming and fishing will be;

5/4 hours + 5/2 hours = (5 + 10)/4 = 15/4 = 3 3/4 hours

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+

25.45584