Five unit squares inside a larger square. What is the total area?
Tag: area
Categories
The sleeping bag
A semicircle containing a circle. One line segment is tangent to the circle and connects to the semicircle centre. The chord connects two tangency points. What fraction is blue?
Categories
A full house
Two large squares and three smaller ones of side length 5 are placed as shown. What is the pink area?
Categories
The stained glass
Two congruent rectangles are placed side by side. Two line segments form two coloured quadrilaterals and three triangles. What is the proportion purple : green?
Categories
Tilted hourglass II
Two equilateral triangles inside a square. What’s the proportion green : orange?
Categories
The hot-air balloon
Two circles, four tangent line segments and a square. What’s the proportion red : blue?
Categories
Partial eclipse II
Two diagonals of a circle are tangent to another circle. The chord passes through the tangency point. If the smaller circle has area 3, what is the area of the larger one?
Categories
The bishop’s hat
Two overlapping regular pentagons share two vertices. What fraction is the overlap area?
Categories
The slippery slope
A semicircle, two squares and a triangle. What is the orange area?
Categories
The leaning tower
A trapezium with its diagonals. Two areas are given. What faction is coloured?