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Found: 3

Problem #PRU-100108

Problems Geometry Plane geometry Area Area of a polygon Finding the area by rearrangment

11–13 4.0

The figure below is a regular pentagram. What is larger, the black area or the blue area?

Problem #PRU-100110

Problems Geometry Plane geometry Area Finding the area by rearrangment

11–13 4.0

In a square, the midpoints of its sides were marked and some segments were drawn. There is another square formed in the centre. Find its area, if the side of the square has length $10$ .

Problem #PRU-100111

Problems Geometry Plane geometry Area Area (other) Finding the area by rearrangment

11–13 4.0

In a parallelogram $A B C D$ , point $E$ belongs to the side $A B$ , point $F$ belongs to the side $C D$ and point $G$ belongs to the side $A D$ . What is more, the marked red segments $A E$ and $C F$ have equal lengths. Prove that the total grey area is equal to the total black area.