ABCD is a square of side 8 units, with the vertices named in order around the square. P is the midpoint of BC and Q is the midpoint of CD. What is the area of triangle APQ?

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Accepted Answer

24 square units. Subtract the three corner triangles from the square. Area ABP = ½ × 8 × 4 = 16, area PCQ = ½ × 4 × 4 = 8, area AQD = ½ × 4 × 8 = 16. Total removed = 40, so area APQ = 64 − 40 = 24 square units.

ABCD is a square of side 8 units, with the vertices named in order around the square. P is the midpoint of BC and Q is the midpoint of CD. What is the area of triangle APQ?

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