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Two consecutive sides of a parallelogram measure 32 centimeters and 15 centimeters. The angle made by the pair of consecutive sides is 135°. What is the area of the parallelogram?
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draw the height from a vertex of the parallelogram on the 32 cm base
94 is the area
16.6 square centimeters 339.4 square centimeters 169.7 square centimeters 678.8 square centimeters
sigh the answer is 339.4
to find the height (h) of the parallelogram, find: sin 45 = h/15 h = (15√2)/2 cm so, Area of parallelogram = (32) * (15√2)/2 = 240√2 cm^2 ≈ 339.411 cm^2
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@AleshGames is wright I forgot a step
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