Question

The house has a form of a rectangle with one side two and a half times as long as the other side. a Construct the expression for the area of the rectangle in terms of x, where x denotes a shorter side of the rectangle.

Answer 1

Answer: $A=2.5x^{2}$

Step-by-step explanation:

1. Let's write the following formula for calculate the area of a rectangle:

$A=yx$

Where $y$ is the lenght (the longer side) and $x$ is the width (the shorter side).

2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

$y=2.5x$

3. So, you must substitute $y$ into the equation for calculate the area of the rectangle and then you must simplify.

4. Then, you obtain the following expression:

$A=(2.5x)(x)\\A=2.5x^{2}$