The area of a rectangular wall of a barn is 42 square feet. Its length is 8 feet longer than twice its width. Find the length an d width of the wall of the barn.
1 answer:
Answer:
The answer to your question is: length = 14 ft; width = 3 ft
Step-by-step explanation:
Data
Area = 42 ft²
length = 8 + 2w
w = width = ?
length = ?
Formula
Area = length x width = l x w
Substitution
42 = (2w + 8)w
42 = 2w² + 8w
2w² + 8w - 42 = 0
Dividing by 2
w² + 4w - 21 = 0 Factorize
(w + 7) (w - 3) = 0
w1 = -7 w2 = 3
It's not possible to have negative widths
So the answer is w = 3 ft
length = 2(3) + 8
length = 6 + 8
length = 14 ft
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Answer:
Yes you did!
Step-by-step explanation:
Sweet job!
