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Problem of the Week
Problem A
Room to Grow

Ada Lovelace Public School needs to add a new wing to its main building that includes a classroom, library, staff room, and washroom. The plans for the addition are shown, with all new rooms being rectangular; however, some of the measurements are missing.

A description of the floor plan follows.

Fortunately, the contractor remembered the following extra details:

When describing the dimensions of a rectangle, the contractor uses length to describe the longer side, and width to describe the shorter side.

  1. What are the missing dimensions of the classroom and the staff room?

  2. What is the total floor area of the four new rooms?

Themes: Geometry & Measurement, Number Sense