Select the correct answerHow many parallelograms are formed by a set of 5 parallel lines intersecting another set of 8 parallel lines?Options14056280120

The number of parallelograms formed by a set of parallel lines intersecting another set of parallel lines can be calculated using the formula: n(n-1)/2 * m(m-1)/2, where n and m are the number of lines in each set.

Step 1: Calculate the number of line intersections for each set of parallel lines separately.

For the set of 5 parallel lines: 5(5-1)/2 = 5*4/2 = 10

For the set of 8 parallel lines: 8(8-1)/2 = 8*7/2 = 28

Step 2: Multiply the number of line intersections for each set of parallel lines to get the total number of parallelograms.

10 * 28 = 280

So, the correct answer is 280.