How can you decompose the composite figure to determine its area?
a)as a pentagon and four semicircles
b)as two rectangles and four circles
c)as a square and four semicircles
d)as two triangles and four circles
c : a square and four semi circles

For this case the first thing you should do is observe that the diameter of the four semicircles is the same.

Therefore, we can decompose the figure as follows:

1) We draw the diameters of the four semicircles to form a square.

2) We divide the figure into a square and four semicircles

3) The total area is the sum of the area of the square, plus the area of the 4 semicircles.

c)as a square and four semicircles

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step-by-step explanation:

(3rd option) - c