Discussion
| Column A | Column B |
| The area of parallelogram ABCD | 15 |
| (A) | Column A is larger |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 06/22/2013 11:01
Could you unpack this answer in a little more detail? Visually the answer makes sense but I'm not following the formula you would use to come to that conclusion.
Posted: 06/23/2013 00:51
Sam, the area of a rectangle is simply the product of the length and width, which in this case is 15. The question is, if we make the rectangle a parallelogram, by tilting it at an angle, does it make the area larger or smaller? Remember a rectangle is nothing but a right-angled parallelogram.
The explanation says that the quickest way to find out is by making the angle extreme, eg, 10 degrees. Thus we find that a parallelogram with same width and length will always have areas less than a rectangle or a right angled parallelogram.
The explanation says that the quickest way to find out is by making the angle extreme, eg, 10 degrees. Thus we find that a parallelogram with same width and length will always have areas less than a rectangle or a right angled parallelogram.