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dem82 [27]
4 years ago
5

The area of a rectangular wall of a barn is 48 square feet. Its length is 10 feet longer than twice its width. Find the length a

nd width of the wall of the barn.
Mathematics
1 answer:
Allushta [10]4 years ago
7 0
  • Answer:

<em>l = 16 feet</em>

<em>w = 3 feet</em>

  • Step-by-step explanation:

<em>A = l×w</em>

<em>l = 10+2w</em>

<em>48 = (10 + 2w)w</em>

<em>48 = 10w + 2w² | : 2</em>

<em>24 = 5w + w²</em>

<em>w² + 5w - 24 = 0</em>

<em>w² + 8w - 3w - 24 = 0</em>

<em>w(w + 8) - 3(w + 8) = 0</em>

<em>(w - 3)(w + 8) = 0</em>

<em>w - 3 = 0 => w = 3 feet</em>

<em>w + 8 = 0 => w = - 8 ∉ N </em>

<em>l = 10 + 2w</em>

<em>l = 10 + 6</em>

<em>l = 16 feet</em>

<em />

<em>A = l×w = 16ft×3ft = 48ft² </em>

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