Question

how do the areas of the parallelograms compare? the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. the area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. the area of parallelogram 1 is equal to the area of parallelogram 2. the area of parallelogram 1 is 2 square units less than the area of parallelogram 2.

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area formula of a parallelogram is \(A = base\times height\).

Step2: Determine the base and height for parallelogram 1

For parallelogram 1, assume the base \(b_1 = 4\) units and the height \(h_1= 2\) units. Then \(A_1=b_1\times h_1=4\times2 = 8\) square units.

Step3: Determine the base and height for parallelogram 2

For parallelogram 2, assume the base \(b_2 = 4\) units and the height \(h_2 = 2\) units. Then \(A_2=b_2\times h_2=4\times2=8\) square units.

Answer:

The area of parallelogram 1 is equal to the area of parallelogram 2.