If the third proportional to 4 and 6 is used as the base of a rectangle, and the first number (4) is its height, what is the area of the rectangle?
36 unit2
The third proportional to 4 and 6 is a number \(x\) such that \(4 : 6 = 6 : x\).
Solving: \(x = \frac{6 \times 6}{4} = \frac{36}{4} = 9\).
The base of the rectangle is 9 units and the height is 4 units.
Area = base × height = \(9 \times 4 = 36\) unit2.
Hence, the area of the rectangle is 36 unit2.
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