A parallelogram has sides A, B, C, and D. Sides A and B have a length of #7 # and sides C and D have a length of # 4 #. If the angle between sides A and C is #(5 pi)/8 #, what is the area of the parallelogram?

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Answer 1 · 2018-02-28T11:25:24

Area of the parallelogram #A = b h sin theta = color(brown)(25.8686# sq units

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Area of a parallelogram is given by the formula #A = b h = b a sin theta# as # h = asin theta#

Where length #= b, width = a, height = h, theta # the angle between b and a.

Given : #b = 7, a = 4, theta = (5pi)/8#

Area of the parallelogram #A = 7 * 4 * sin ((5pi)/8) = 25.8686# sq units