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?
Answers
Answered by
8
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
Answered by
23
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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