# Problem of the Day: 1/1/13

Happy new year!

Evaluate $2013^2 - 2010^2$ WITHOUT a calculator.

Solution to yesterday’s problem:
Let’s write an expression to represent this problem:
$5\textup{ft} \times 9\textup{ft} - \pi(2\textup{ft})^2$
The 5 x 9 represents the area of the door, and the area of the wreath is subsequently subtracted.

Simplifying this,
$45 - 4\pi$

$45 - 12.56637$

$32.43363$

The area of the door outside the wreath is about 32.44 square feet.