Answered

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The area of a rectangular wall of a bam is 180 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the bar.
The width is feet.

Sagot :

sqdancefan

Answer:

  10 feet

Step-by-step explanation:

You want the width of a 180 ft² wall if the length is 8 ft longer than the width.

Factors

The area is the product of length and width. This means we want factors of 180 that differ by 8:

  180 = 1·180 = 2·90 = 3·60 = 4·45 = 5·36 = 6·30 = 9·20 = 10·18 = 12·15

Differences between these factors are ...

  179, 88, 57, 41, 31, 24, 11, 8, 3

The factor pair with a difference of 8 is 10·18.

The width is 10 feet.

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Additional comment

The length is 18 feet.

We could write this as an equation to get ...

  w(w+8) = 180

  w² +8w -180 = 0

To factor this, we would still be looking for factors of 180 that differ by 8. The above approach gets us to the same place directly.

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