Answer:
The length of the room is 18 2/5 feet.
Step-by-step explanation:
The formula for finding the area of rectangles is A = l · w
Since the area and width is given to you, we can substitute that in the formula:
230 = l · 12 1/2
Now we convert the 12 1/2 to an improper fraction so it is easier to solve.
Here's how you convert a mixed number to an improper fraction:
12 · 2 = 24
24 + 1 = 25
and put 25 over the original denominator
= 25/2
Now you can add that to the equation...
l · 25/2 = 230 (I put 230 on the right side because that is how I am used to solving equations, but you can leave it on the right side as well. It is up to you)
To get rid of fractions, multiply by the reciprocal (Basically you flip the fraction so that the numerator becomes the denominator and the denominator becomes the numerator) on both sides
25/2 · 2/25 cancels itself out
and
230/1 · 2/25...
230 · 2 = 460
1 · 25 = 25
So you would get 460/25
Thus, we end up with:
l = 460/25
Divide 460 by 25 and you get 18.4...
Technically 18.4 is the answer but in decimal form.
If you want it in fraction form, just take 0.4 and put it over 10 because 0.4 is in the tenths place. 4/10 simplifies down to 2/5...
Therefore, the answer is 18 2/5 feet.
I hope this is helpful! Let me know if you have any further questions :D
