# Math

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A new car manufacturer is designing a logo. It is in the shape of a diamond inside a rectangle. The diamond is to have a horizontal width of 3 cm and an area equal to one sixth of the area of the rectangle. Find the required height of the diamond.

• Math -

If the diamond is just a rotated square, then its diagonal is 3, so its area is 9/2.

So, the rectangle has width 3 and area 27, so its height is 9.

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