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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.

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carlosego

Answer: [tex]A=2.5x^{2}[/tex]


Step-by-step explanation:

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

[tex]A=yx[/tex]

Where [tex]y[/tex] is the lenght (the longer side) and [tex]x[/tex] 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:

[tex]y=2.5x[/tex]

3. So, you must substitute [tex]y[/tex] into the equation for calculate the area of the rectangle and then you must simplify.

4. Then, you obtain the following expression:

[tex]A=(2.5x)(x)\\A=2.5x^{2}[/tex]


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