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Discipline: Math

Question topic: Areas of Parallelograms and Squares

Source: Originais Teachy

Level of difficulty: Easy

(Originais Teachy 2023) - Question Easy of Math

During a geometry class, the teacher proposed a challenge to the students. He described a square plot of land that is for sale in their city, with a perimeter of 80 meters. The teacher then asked, 'If you were to buy this plot of land, what would be the area you would be acquiring?'. How could the students calculate the area of this plot of land based on the given information?
400 square meters
500 square meters
600 square meters
300 square meters
200 square meters


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Question 1:


João and Maria decided to build a wooden house in a rectangular shape, but there is a small triangular area on the land where they planned to build that cannot be used. To compensate for this limitation, they chose to expand the house by creating a room in the shape of a parallelogram. Considering that the land has the following dimensions: a rectangle with a base of 12 meters and a height of 8 meters, and a parallelogram with a base of 5 meters and a height of 4 meters. a) Calculate the area of the initially intended rectangular land. b) Calculate the area of the room in the shape of a parallelogram. c) Assuming that the area of the house is the sum of the areas calculated in the first two questions, what will be the total area of João and Maria's house?
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Observe the sequence of figures below, built with black and white balls, all of the same size. "Figure 1 is composed of 1 white ball surrounded by 8 black balls. Figure 2, 4 white balls surrounded by 12 black balls and so on." The number of black balls in the figure composed of 676 white balls is
Question illustration
Source: CMRJ
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