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?

Answer 1

Answer:

5544

Step-by-step explanation:

A: b × h

= {2x + 3} × {3x - 2}

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

= 6x^2 - 4x + 9x - 6

= 6x^2 + 5x - 6

Therefore if x = 30 units then 6 × 30^2 + 5 × 30 - 6

= 5400 + 150 - 6

= 5544

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} x {3x - 2}

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

= 6x² -4x + 9x - 6

= 6x² + 5x - 6

So, If  x = 30 units :

⇒  6 × 30² + 5 × 30 - 6

= 5400 + 150 - 6

= 5544.

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