A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?
Tag: square
The twin triangles
Two squares share a vertex. Prove that the red triangle is congruent to the blue one.
Ice cube
A rectangle and a square. What is the proportion purple : blue?
Four quarter circles of radius 1, each containing a square. What is the blue area?
The headphones
A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?
Giro d’Italia
A square with the origin halfway one of its sides. The coordinates of two vertices are given. What is the square’s area?
Hard on portside
Two squares and two diagonals. Two areas are given. What is the total area?
Points of authority
Three squares and three shared vertices. Prove the three red vertices are collinear.
The crane
A triangle with an inscribed square. What fraction is yellow?
The balancing block
A rectangle inside a square. One of its sides is tangent to the quarter circle. What fraction is green as x approaches 0?