Question

off the grid, part 1 lets practice determining the area of parallelograms. warm - up 1 which parallelogram has a greater area? circle one. a b they have the same area. show or explain your thinking.

Explanation:

Step1: Recall area formula for parallelogram

The area of a parallelogram is given by $A = base\times height$.

Step2: Analyze the two parallelograms

Let's assume the grid - squares have side - length 1 unit. For parallelogram A and B, if we count the number of grid - squares for the base and height:
For parallelogram A, assume the base is along a horizontal or vertical direction of the grid. If we count the number of grid - squares for the base $b_A$ and height $h_A$. Similarly for parallelogram B, we count the base $b_B$ and height $h_B$.
Upon counting, we find that $b_A\times h_A=b_B\times h_B$.

Answer:

They have the same area.