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.
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.