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builder has a wooden board measuring 231" long. She needs to cut this board into 20 separate boards. What should the length of each board be?

2007-07-01 16:18:51 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

Each board should be of length

231/20 = 11.55 inches

2007-07-01 16:22:16 · answer #1 · answered by Northstar 7 · 0 0

This is a simple division problem. Let me help you solve this logically. Basically, you (the builder) want to have 20 boards of equal length. Now, the original board was 231 inches long. Let's say the equal length was called, "x". This is basically naming the variable.

Now, let's set up the equation.

We need 20 boards of x length to equal a length of 231 inches. To put this into an equation format, we do this:

20 * x = 231

Now let's solve this. We need to isolate the variable. So, we divide 20 from both sides.

(20 * x) / 20 = 231 / 20

Simplify: x = 231/20

We've solved it already! But, we can still do more things to this answer to simplify it. Currently, it's in its most simplified fraction form.

We can turn this into a mixed number by finding the highest multiple of 20 that's below 231. The highest multiple of 20 that's below 231 is 220. Let's divide 220 by 20. The answer is 11. Subtract 220 from 231 and you get 11. So the mixed number is: 11 and 11/20

Or, we can turn this into a decimal. We have the ones place of the decimal already. That's 11. Now, we have to find the decimal parts after the "dot." To find this, we divide 11 by 20. The answer is .55

That's not a terrible decimal at all! The answer (finally) is 11.55 inches.

2007-07-01 23:36:35 · answer #2 · answered by Phantomesse 1 · 0 0

231/20 = 11.55" ≈ 11 9/16" each
(Tape measures are graduated in 16ths of an inch, not hundredths of an inch.) Technically, allowing for kerf of 1/8",
20L + 19(1/8) = 231
20L + 2.375 = 231
20L = 228.625
L = 11.43125 ≈ 11 7/16

2007-07-01 23:36:02 · answer #3 · answered by Helmut 7 · 0 0

231" divided by 20. So the answer is 11.55"


Good luck =)

2007-07-01 23:22:56 · answer #4 · answered by Anonymous · 0 0

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