# Math Help - Squares

1. ## Squares

Consider a rectangle $l$ units long, and $w$ units wide and the $lw$ unit squares found in it. A diagonal is drawn from one corner to the opposite. The diagonal cuts through certain unit squares. Find in terms of $l$ and $w$ the number of unit squares that are cut through.

2. Originally Posted by usagi_killer
Consider a rectangle $l$ units long, and $w$ units wide and the $lw$ unit squares found in it. A diagonal is drawn from one corner to the opposite. The diagonal cuts through certain unit squares. Find in terms of $l$ and $w$ the number of unit squares that are cut through.
Isn't it half of the area of the rectangle?
Number of units squares= lw/2

3. JoanF is correct.

If you think about it, the AREA of the rectangle is $lw$. If you draw a diagonal line through the rectangle, you are effectively cutting the rectangle in half.

Therefore, the area is divided by 2, i.e. $lw/2$