Geometry, fractions, proportion, square, area calculation, rhombus, parallelogram, diagonals, midpoint
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Abstract
Step-by-step solutions to geometry problems involving squares, fractions, and proportions, including area calculations and properties of geometric shapes.
Contents
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 1
Exercise 2
Exercise 3
Exercise 4
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[...] So O is the point of intersection of the medians. And since the triangle COB is right in we deduce that the diagonals of ABCD are perpendicular. ABCD is therefore a rhombus. Exercise 4 The area of the square is worth . The area of the disk with a radius of 2 inside the square is: The area of the 4 'corners' grey is then: The area of the white part is then: The total grey area is worth: Thus, there is more white than grey. [...]
[...] This square must therefore be red and black at the same time Exercise 2 Fraction of students in the college who practice a team sport in a club: Fraction of students practicing an individual sport among students practicing a sport in a club: Fraction of students in this college who practice an individual sport in a club: Number of students not practicing a sport in a club: Number of students practicing a team sport in a club: Number of students practicing an individual sport in a club: Exercise 3 Since D is the image of A by the translation that transforms B into the lines and are parallel and AD=BC. Thus ABCD is a parallelogram. Its diagonals therefore intersect in their midpoint. Now O is the midpoint of by construction. [...]
