A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?

Respuesta :

The number of cells which have been cut into two parts is approximately ; 72 units

According to the question;

  • The rectangle has dimensions 60 units x 40 units.

Provided a cell of the grid is 1 unit * 1 unit.

When a diagonal of the rectangle is drawn;

The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.

  • Diagonal, D² = 60² + 40²

  • D² = 3600 + 1600

  • D² = 5,200

  • D = √5200

  • D = 72.11 units

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