Aparallelogram is shown below: a parallelogram abcd is shown with dc equal to 8 feet and the perpendicular distance between ab and dc equal to 3 over 4 foot. part a: what is the area of the parallelogram? show your work. (5 points) part b: how can you decompose this parallelogram into two triangles? if this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 poin

  A.  6 ft²

  B.  draw a diagonal; each triangle would be half the area: 3 ft²

Step-by-step explanation:

Part A:

The area is the product of the length of one of the parallel sides and its distance from the other:

 A = bh = (8 ft)(3/4 ft) = 6 ft²

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Part B:

A parallelogram can be divided into two congruent triangles by either of its diagonals. Since the triangles are congruent, each will have 1/2 the area of the parallelogram. In this case, each triangle's area would be ...

  (1/2)6 ft² = 3 ft²