Question

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

Answer 1

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:

$Length = 5x + 3$

$Width = x +1$