Help please

Question

The front of a desk has four drawers . The top two have square fronts, and all the drawers have the same height. The desk stands 66cm high will a 45 cm laptop fit in one of the drawers

Answer 1

Well, there is 2-D geometry (called plane geometry) and there is 3-D geometry.  This problem gives only the height of the desk and one dimension for the laptop.

 

The desk may look something like:

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With a height of 66 cm (roughly 26 inches), the drawers may be 22 cm high (assume desk has no legs).

 

No width or depth is given for the desk or for the drawers.  That's what makes the wording of this problem bad.  But, if two square drawers are aligned with the other drawers, we might assume that the other drawers have a width of 44 cm.

 

Now, the 45 cm (17.7 inches) for a laptop is often the diagonal measurement of the viewing screen, not the height nor the width nor the depth of the case.  But, if we assume a width of 44 cm. (see above) and a horizontal dimension of 45 cm. for the laptop, it is too wide.  Perhaps we could turn it if the depth (unknown) is greater than 45 cm (and that is very likely since 18 inches is a very narrow workspace for a desktop.

 

So, no real answer.  Only that the width may be too small.

 

Since the width and the depth of the drawers is not known, and only the diagonal size of the laptop is known, this is not a very good geometry problem statement.