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Question about Movements and Location: Grid Meshes

Mathematics

Originais Teachy

Movements and Location: Grid Meshes

Hard

(Originais Teachy 2023) - Question Hard of Mathematics

Rafaela and her father are building a miniature boat together from a grid, where each square of the grid is 5 centimeters long. They decided that the boat will have the shape of a rectangle with 4 squares in width and 8 squares in length. The bottom left corner of the boat is located at point (2,3) on the grid, where the coordinates (x, y) indicate the number of squares to be counted from the origin, towards the right for x and upwards for y, to reach the determined point. Rafaela is tasked with decorating the boat with paper pieces in the shape of a triangle, which will have one vertex at point (2,3) and the hypotenuse parallel to the sides of the boat's rectangle. She must cut the triangles so that the hypotenuse is 10 centimeters long. How many square centimeters of paper will be needed to decorate Rafaela's boat?
a.
The amount of paper needed to decorate Rafaela's boat is 300 square centimeters.
b.
The amount of paper needed to decorate Rafaela's boat is 100 square centimeters.
c.
The amount of paper needed to decorate Rafaela's boat is 200 square centimeters.
d.
The amount of paper needed to decorate Rafaela's boat is 150 square centimeters.
e.
The amount of paper needed to decorate Rafaela's boat is 250 square centimeters.

Answer sheet:

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