Question

The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?

Answer 1

Answer:

Option A. x + 3

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

The area of a rectangle is given by:

Area (A) = length (L) × Width (W)

A = L × W

With the above formula, we can obtain the lenght of the rectangle as follow:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

A = L × W

(x² + 2x – 3) = L(x – 1)

Divide both side by (x – 1)

L = (x² + 2x – 3) / (x – 1)

Please see attached photo for explanation

L = x + 3

Thus, the length of the rectangle is x + 3