# What is the area of a parallelogram created by the lines 2x - y - 4 = 0, 2x - y + 3 = 0, y = 4 and y = -3

## Expert Answers The area of a parallelogram has to be determined where the sides are are the lines 2x - y - 4 = 0, 2x - y + 3 = 0, y = 4 and y = -3.

A graph of the parallelogram is given below:

The area of a parallelogram is given by A = b*h where b is the base, or the length of any one of the sides and h is the perpendicular distance between the side and the opposite side.

In the parallelogram given, the length of a shorter side is 2 + 3/2 = 3.5. The perpendicular distance between this side and the opposite side is 4 + 3 = 7

Using the formula given earlier, the area of the parallelogram is 3.5*7 = 24.5

The area of the parallelogram is 24.5 square units.

Approved by eNotes Editorial Team

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

• 30,000+ book summaries
• 20% study tools discount
• Ad-free content
• PDF downloads
• 300,000+ answers
• 5-star customer support