Question

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?

Answer 1

The correct answer is x-2 and x+5 if you are on edgenuity

Answer 2

Answer:

x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

Area of a rectangle A is given by:

$A = lw$           ....[1]

where, l is the length and w is the width of the rectangle.

As per the statement:

Given the area of rectangle:

$A = x^2+3x-10$ square units

Factorize this equation:

$A = x^2+5x-2x-10$

⇒$A = x(x+5)-2(x+5)$

⇒$A = (x-2)(x+5)$

On comparing with [1] we get;

l = x-2 unit and w = x+5 unit or l = x+5 units and w = x-2 unit

Therefore, x-2 and x+5 side lengths should be used to model a rectangle.