Question

A parallelogram is shown below:

Answer 1

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Answer:

  A.  2 square feet

  B.  draw a diagonal; 1 square foot

Step-by-step explanation:

A. The area of a parallelogram is given by the formula ...

  A = bh

Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...

  A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram

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B. Drawing a diagonal (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...

  A = 1/2bh

Using the given dimensions, ...

  A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle