WILL GIVE BRAINLIEST 5 STARS AND THANKSAn automated machine takes any cardboard rectangle and cuts off a square whose side length is equal to the shorter side length of the rectangle. Peter had a rectangle and, using only the machine, got out of it 2 large squares, 3 medium squares, and 5 small squares whose side length is 10 cm. What were the dimensions of Peter's rectangle?

Dimensions:

x = 130 cm

y = 10 cm

Step-by-step explanation:

Let´s call "x" and "d" sides of the cardboard rectangle x > y

then we have to cut along x three pieces of y length to get three squares of sides "y".

We have two squares of side y, the third one we cut in half and get two rectangles with sides y  and y/2, we cut to get 4 squares with sides y/2 then so far we have

2 large squares     ( side y )

4 medium squares (side y/2)  we just need three

We need to cut the available square side y/2  in 4 to get y/4 squares

Finally, we need y/4 length to get the fifth  y/4 square

Then dimensions of the cardboard

x       and   y

We cut 3 times at  "y" length and  need additional 10 cm

Then the side y/4 is equal to 10 cm then y = 40 cm

and  x = 3*y + y/4

x = 3*40 + 10 = 130 cm

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.