five squares
Geometry
Level
2
Five squares are arranged in one line as shown. What is the ratio of the area of the green region to the area of the yellow region?
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1 solution
Let the squares have side length 1. Then the total area is 5, since the area of each square is 1.
There are two green triangles, each with a height of 1. One has a base of 1 and one a base of 2. The area of a triangle is 1/2 * base * height, so the area is 1/2 and 1, for a total green area of 1.5
The total yellow area is 5 - 1.5 = 3.5
So the ratio is 1.5:3.5 = 3:7