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Problem of the Week
Problem C
Dollhouse

The first level of a dollhouse is in the shape of a rectangle. Its floor plan is shown in the following diagram.

A large rectangle with its longer sides placed horizontally. A horizontal line that is close to the bottom side of the rectangle divides the rectangle into a top piece and a bottom piece. A vertical line near the centre of the rectangle divides the top piece into two rooms: the Living Room on the left and the Kitchen on the right. The Living Room is larger than the Kitchen. A vertical line close to the left side of the rectangle divides the bottom piece into two rooms: the Mudroom on the left and the Storage Room on the right. The Mudroom is much smaller than the Storage Room.

Both the mudroom and the kitchen are square with areas of \(400\text{ cm}^2\) and \(2500\text{ cm}^2\), respectively. The living room is rectangular with an area of \(3000\text{ cm}^2\).

Determine the area of the rectangular storage room.

Themes: Geometry & Measurement, Number Sense