Question

A parallelogram is shown below:

Answer 1

Answer:

A:  6 ft²

B:  3 ft² is the area of each of the two congruent triangles

Step-by-step explanation:

Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.

  Area = (8 ft)·(3/4 ft) = 6 ft²

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Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)

  triangle area = (6 ft²)/2 = 3 ft²

If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...

  triangle area = (1/2)bh = (1/2)(8 ft)(3/4 ft) = 3 ft²

Answer 2

Answer:

A:  6 ft^2

3 ft^2 is the area of each of the two congruent triangles

Step-by-step explanation:

Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.

 Area = (8 ft)·(3/4 ft) = 6 ft^2

Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)

 triangle area = (6 ft^2)/2 = 3 ft^2

If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...

 triangle area = (1/2)bh = (1/2)(8 ft^2)(3/4 ft)

3ft^2