Question

how do the areas of the parallelograms compare? the area of parallelogram abcd is 4 square units greater than the area of parallelogram efgh. the area of parallelogram abcd is 2 square units greater than the area of parallelogram efgh. the area of parallelogram abcd is equal to the area of parallelogram efgh. the area of parallelogram abcd is 2 square units less than the area of parallelogram efgh.

Explanation:

Step1: Recall area formula

The area formula for a parallelogram is $A = base\times height$.

Step2: Determine base and height of parallelogram ABCD

Let's assume we can identify the base along the x - axis and height perpendicular to it. If we count the grid - units, assume the base of parallelogram ABCD, say along the x - axis, is $b_1 = 3$ units and the height $h_1= 2$ units. Then $A_{ABCD}=b_1\times h_1 = 3\times2=6$ square units.

Step3: Determine base and height of parallelogram EFGH

Similarly, for parallelogram EFGH, assume the base along the x - axis is $b_2 = 3$ units and the height $h_2 = 2$ units. Then $A_{EFGH}=b_2\times h_2=3\times 2 = 6$ square units.

Answer:

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.