The length of a rectangle is 1 meter less than its
width. The area of the rectangle is 42 square
meters. Find the dimensions of the rectangle.

If the length of the rectangle is x, then we know the width is x + 1.

The area of a rectangle is length · width, so we can substitute as x · (x + 1)

Now, we now x · (x + 1) = 42

Expand

x² + x = 42

Solve

x² + x - 42 = 0

(x + 7)(x - 6) = 0

So, x = 6

That means the length is 6 meters and the width is 7 meters.

29 is the correct answer

step-by-step explanation:

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.