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Problem of the Week
Problem B
Parking by Design

KalMart has a paved, rectangular parking lot with a \(6\) m by \(6\) m curbed garden in each corner. There are parking spots along the north and west sides of the parking lot. Some of the parking spots on the north and west sides are shown in the diagram.

Yellow line segments start at the north edge of the lot and run north-south forming three parking spots of equal width on the north side. The parking spot that is furthest east shares an edge with the square garden in the northeast corner of the lot. There is room along the north edge for more parking spots to the west of these three spots. Also, yellow lines start at the west edge of the lot and run east-west forming three parking spots on the west side. The parking spot that is furthest north shares an edge with the garden in the northwest corner, and there is room along the west edge for more parking spots to the south of these three spots.

Each parking spot is \(2.5\) m wide, and the lines separating the parking spots are \(7.5\) cm thick.

  1. There are \(25\) parking spots along the north side of the parking lot. What is the length, in metres, of the north side of the parking lot, including the gardens?

  2. There are \(20\) parking spots along the west side of the parking lot. What is the length, in metres, of the west side of the parking lot, including the gardens?

  3. What is the total area, in square metres, of the paved portion of the parking lot, excluding the gardens?

Themes: Geometry & Measurement, Number Sense