Geometry Challenges

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–> Link to collection of Catriona Agg Puzzles (I want to solve all of these!) <-


Challenge Problems

\(\textbf{1)}\) Find the area of this rectangle.
Geometry Challenge for Question 1
Link to Youtube Video Solving Question Number 1




\(\textbf{2)}\) Find the area of the red square.
Geometry Challenge for Question 2
Link to Youtube Video Solving Question Number 2




\(\textbf{3)}\) Find the radius of the green circle.
Geometry Challenge for Question 3
Link to Youtube Video Solving Question Number 3




\(\textbf{4)}\) Find the area of the blue region.
Geometry Challenge for Question 4
Link to Youtube Video Solving Question Number 4




\(\textbf{5)}\) Find the area of the pink region.
Geometry Challenge for Question 5
Link to Youtube Video Solving Question Number 5




\(\textbf{6)}\) Find the perimeter.
Geometry Challenge for Question 6
Link to Youtube Video Solving Question Number 6




\(\textbf{7)}\) Solve for x.
Geometry Challenge for Question 7
Link to Youtube Video Solving Question Number 7




\(\textbf{8)}\) Show that the Area \(=2x^2+24x+46\).
Geometry Challenge for Question 8
Link to Youtube Video Solving Question Number 8




\(\textbf{9)}\) What is the area of the blue region?
Geometry Challenge for Question 9
Link to Youtube Video Solving Question Number 9




\(\textbf{10)}\) Find the area of the green triangle.
Geometry Challenge for Question 10
Link to Youtube Video Solving Question Number 10




\(\textbf{11)}\) Find the area of the blue region.
Geometry Challenge for Question 11
Link to Youtube Video Solving Question Number 11




\(\textbf{12)}\) Find the measure of the angle “?”.
Geometry Challenge for Question 12
Link to Youtube Video Solving Question Number 12




\(\textbf{13)}\) Find the area of the red region.
Geometry Challenge for Question 13
Link to Youtube Video Solving Question Number 13




\(\textbf{14)}\) Find the area of the large circle.
Geometry Challenge for Question 14
Link to Youtube Video Solving Question Number 14




\(\textbf{15)}\) How many degrees is the red angle?
Geometry Challenge for Question 15
Link to Youtube Video Solving Question Number 15




\(\textbf{16)}\) Find the area of the grey rectangle.
Geometry Challenge for Question 16
Link to Youtube Video Solving Question Number 16




\(\textbf{17)}\) Solve for x.
Geometry Challenge for Question 17
Link to Youtube Video Solving Question Number 17




\(\textbf{18)}\) Find the area of the blue rectangle.
Geometry Challenge for Question 18
Link to Youtube Video Solving Question Number 18




\(\textbf{19)}\) Red line is tangent to blue circle. Find the value of r.
Geometry Challenge for Question 19
Link to Youtube Video Solving Question Number 19




\(\textbf{20)}\) Given 2 squares and 2 triangles, find the area of the red triangle.
Geometry Challenge for Question 20
Link to Youtube Video Solving Question Number 20


\(\textbf{21)}\) Find the area of the red region.
Geometry Challenge for Question 21
Link to Youtube Video Solving Question Number 21


\(\textbf{22)}\) Find the area of the orange triangle.
Geometry Challenge for Question 22
Link to Youtube Video Solving Question Number 22


\(\textbf{23)}\) Blue Area = Red Area = Green Area. Find the Area of the Square.
Geometry Challenge for Question 23
Link to Youtube Video Solving Question Number 23


\(\textbf{24)}\) Find the Area of the Red Square
Geometry Challenge for Question 24
Link to Youtube Video Solving Question Number 24


\(\textbf{25)}\) Find the Area of the Blue Rectangle
Geometry Challenge for Question 25
Link to Youtube Video Solving Question Number 25


\(\textbf{26)}\) Find the Area of the Red Region
Geometry Challenge for Question 26
Link to Youtube Video Solving Question Number 26


\(\textbf{27)}\) Find the ratio of \(\displaystyle\frac{\text{Pink Area}}{\text{Green Area}}\)
Geometry Challenge for Question 27
Link to Youtube Video Solving Question Number 27


\(\textbf{28)}\) Find the area of the red region
Geometry Challenge for Question 28
Link to Youtube Video Solving Question Number 28


\(\textbf{29)}\) Find the area of the red inscribed circle
Geometry Challenge for Question 29
Link to Youtube Video Solving Question Number 29


\(\textbf{30)}\) Find the radius of the circle
Geometry Challenge for Question 30
Link to Youtube Video Solving Question Number 30


\(\textbf{31)}\) Find the area of the square

Link to Youtube Video Solving Question Number 31


\(\textbf{32)}\) Given: 3 Squares and a Semicircle. What’s the total area of the 3 squares?

Link to Youtube Video Solving Question Number 32


\(\textbf{33)}\) Find the value of x.

Link to Youtube Video Solving Question Number 33


\(\textbf{34)}\) Find the area of the blue triangle.

Link to Youtube Video Solving Question Number 34


\(\textbf{35)}\) Two equilateral Triangles. What’s the Angle?
Geometry Challenge 35
Link to Youtube Video Solving Question Number 35


\(\textbf{36)}\) Solve for x, one of the sides of 3 given squares.
Geometry Challenge 36
Link to Youtube Video Solving Question Number 36


\(\textbf{37)}\) Four Squares. What is the shaded area?

Link to Youtube Video Solving Question Number 37


\(\textbf{38)}\) Two quarter circles and a semicircle. What is the shaded area?

Link to Youtube Video Solving Question Number 38



See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
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