Question

5. 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?

Answer 1

Answer:

area=(2x+3)(3×-2)

=6ײ-4×+9×-6)

=6ײ+5×-6

=6×900+150-6

=5400+144

=5544sq.units

Answer 2

Given:-

• The base of a parallelogram is (2x + 3) units and the corresponding height is  (3x – 2) units.

To find:-

• Find the area of the parallelogram in terms of x.

• What will be  the area of parallelogram if x = 30 unit.

Solution:-

Area : b × h

= {2x + 3} × {3x - 2}

= {2x × 3x} - {2x × 2} + {3 × 3x} - {3 × 2}

= 6x² -4x + 9x - 6

= 6x² + 5x - 6

So, If  x = 30 units :

⇒  6 × 30² + 5 × 30 - 6

= 5400 + 150 - 6

= 5544.

_______________________________________