home Interactive Shape Think!
a1 a2 a3 a4
b1 b2 b3 b4
b1 b2 b3 b4
ks1 ks3 & ks4 Foundation
ks2 ks4 Higher
ks4 Higher What is the total area of the shaded shapes?
Please enable Java for an interactive construction (with Cinderella).
You have to find the total area of the four triangular shapes shaded yellow, green, blue and red.The dimensions marked 10.2 cm, 9.4 cm and 4.6 cm are fixed. The dimensions x and y are unknown (but cannot be negative). Change the positions of the points O, P and Q and the length y. The individual areas of the four triangles will change. But the total remains the same. Can you make three of the four areas zero?

Can you explain any of this?
The total area is