what is the area of parallelogram abcd?\no 13 square units\no 14 square units\no 15 square units\no 16…

what is the area of parallelogram abcd?\no 13 square units\no 14 square units\no 15 square units\no 16 square units

what is the area of parallelogram abcd?\no 13 square units\no 14 square units\no 15 square units\no 16 square units

Answer

Explanation:

Step1: Identify base and height

Count the horizontal distance for base and vertical distance for height on the grid. The base of the parallelogram can be considered as the horizontal distance between two adjacent vertices. Let's take the base along the x - axis direction. The length of the base (b) between points (D(2,2)) and (C(5,1)) (or other parallel - side vertices) is 4 units. The height (h) (perpendicular distance between the parallel sides) is 4 units.

Step2: Apply area formula

The area formula of a parallelogram is (A = b\times h). Substitute (b = 4) and (h = 4) into the formula. So (A=4\times4 = 16).

Answer:

16 square units