Q.17 - The base of a parallelogram is (X + 2), altitude to the base is (X-
6) and the area is (x² - 4), find out its actual area.
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We are given :-
- Altitude x-6
- Base x+2
Solved by the formula for parallelogram :-
(Area)=(Base)*(Altitude)
x² - 4 = (x + 2) (x - 6)
x² - 4 = x² - 6x + 2x - 12
- 4 = - 4x - 12
4x = - 12 + 4 = - 8
x = - 2
But you need to consider :-
Every length of a side is positive value.
It's a TRAP
Because x+2 is a positive, x=-2 can't be a solution.
No solution, area not found.
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