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
