Question

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

Answer 1

`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`