Find the area of a trapezoid whose vertices have coordinates (3; 2), (9; 3), (9; 7), (3; 5).
| August 15, 2021 | education
Mark the points on the coordinate plane and connect them. ABCD – trapezoid with bases AD and CD.
Length АD = 7 – 3 = 4 cm, length СD = 5 – 2 = 3 cm.
Let’s build the height of the HВ.
Length BH = 9 – 3 = 6 cm.
Determine the area of the trapezoid.
Savsd = (АD + ВС) * ВН / 2 = (4 + 3) * 6/2 = 7 * 3 = 21 cm2.
Answer: The area of the trapezoid is 21 cm2.
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