MathDB
2015 Team #1

Source:

August 2, 2022
2015team test

Problem Statement

In his spare time, Thomas likes making rectangular windows. He builds windows by taking four 30 cm×20 cm30\text{ cm}\times20\text{ cm} rectangles of glass and arranging them in a larger rectangle in wood. The window has an x cmx\text{ cm} wide strip of wood between adjacent glass pieces and an x cmx\text{ cm} wide strip of wood between each glass piece and the adjacent edge of the window. Given that the total area of the glass is equivalent to the total area of the wood, what is xx?