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Levart [38]
2 years ago
13

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

Mathematics
1 answer:
irina [24]2 years ago
6 0

Answer:

Length = 5x + 3

Width = x  +1

Step-by-step 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

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