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.

Step-by-step explanation:

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

Where is the lenght (the longer side) and 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:

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

4. Then, you obtain the following expression:

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step-by-step explanation: