three circles in a rectangle . .

Geometry Level 1

If the distance between points X X and Y Y is 4 4 , what is the area of the rectangle.


The answer is 32.

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2 solutions

As we can see, the sum of the two radius of the two identical circles is 4; therefore the circle's radius is 2.

The height of the rectangle can also be found out in the same way:

By this, we can get the height and the length of the rectangle:

To gain the area, we multiply the rectangle's length with it height.

8 × 4 = 32 8 × 4 = 32

Therefore, 32 32 is the area of the rectangle.

XY = 4 = diameter of the circle = width of the rectangle

length of the rectangle = 2*4 = 8

area = length * width = 4 * 8 = 32

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