Un niño quiere medir una caja de zapatos
con una cinta métrica cuyas unidades
apenas pueden leerse. El niño concluye
que la base de la caja mide 6 x 9.
¿Cuál es la estimación MÁS razonable del
área de la base de la caja?​

Respuesta :

Answer: OPTION D.

Step-by-step explanation:

The missing options are:

[tex]A. 15 ft^2\\ B. 15\ in^2\\C. 54\ ft^2\\ D. 54\ in^2[/tex]

By definition, the area of a rectangle can be calculated applying the formula shown below:

[tex]A=lw[/tex]

Where "l" is the length of the rectangle and "w" is the width of the rectangle.

In this case, according to the information given  in the exercise, the kid concludes that the dimensions of the shoes box are the following:

[tex]l=9\ units\\\\w=6\ units[/tex]

Then, substituting values into the formula, you get that the area is:

[tex]A=(9\ units)(6\ units)\\\\A=54\ units^2[/tex]

You need to identify which unit corresponds to this area. It must be Option C or Option D.

 Since [tex]54\ ft^2[/tex] is too big for a shoes box, you can conclude the correct one is the area given in the Option D.

Therefore, you get that thea area is:

[tex]A=54\ in^2[/tex]