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Paul is growing a rectangular rose garden. His area is 5x2+ 8x +3. What are the dimensions of his rectangle?

User Uhs
by
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1 Answer

5 votes

Answer:


Length = 5x + 3


Width = x +1

Explanation:

Given


Area = 5x^2 + 8x + 3

Required

Determine the dimensions

To do this, we simply factorize the given expression.


Area = 5x^2 + 8x + 3

Expand


Area = 5x^2 + 5x +3x+ 3

Factorize


Area = 5x(x + 1) +3(x+ 1)

Factor out x + 1


Area = (5x +3) (x+ 1)

Area is calculated as:


Area = Length * Width

So:


Length = 5x + 3


Width = x +1

User Todd Nemet
by
8.1k points

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