Question

The base of a parallelogram is (2x + 3) units and the corresponding height is (3x – 2) units. Find the area of the parallelogram in terms of x. What will be the area of parallelogram if x = 30 units?please explain how you got the answer

Answer 1

S = 6x² + 5x - 6

5544 sq. units

Explanation:

Area of parallelogram is:

• S = bh

Given:

• b = 2x+3
• h = 3x -2

Then:

• S = (2x + 3)(3x - 2) =
• 6x² - 4x + 9x - 6 =
• 6x² + 5x - 6

S = 6x² + 5x - 6

If x = 30, then plug it in the equation:

• S = 6*30² + 5*30 - 6 = 5544 sq. units