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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Base and Height

Half of base times height

Note: Problems 12.1–12.3 refer to the diagram below, rectangle ABCD in the coordinate plane with length 6 and width 4.

12.1    Calculate the area of the rectangle by counting the square units bounded by its sides.

The rectangle has a length of 6 and a width—or height—of 4, so it is comprised of four rows of six square units, each numbered individually in the following diagram. Thus, its area is 6 · 4 = 24 square units.

The area A of a rectangle with length l and width w is A = lw.

Note: Problems 12.1–12.3 ...

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