x^2+9x+20 is the expression for the area of Rectangle. Find the possible length and breadth
Answers
Solution :-
Solving the quadratic equation,
→ x² + 9x + 20
→ x² + 5x + 4x + 20
→ x(x + 5) + 4(x + 5)
→ (x + 5)(x + 4) .
since we know that,
- Area of rectangle = Length * Breadth .
therefore, we can conclude that,
- Length = (x + 5) or (x + 4) .
- Breadth = (x + 5) or (x + 4) .
- vice - versa .
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Given : x^2+9x+20 is the expression for the area of Rectangle.
To Find : Find the possible length and breadth
Solution:
x² + 9x + 20
middle term split
x² + 5x + 4x + 20
= x( x+ 5) + 4(x + 5)
= (x + 5)(x + 4)
Area of rectangle = Length * breadth
Possible length and breadth are ( x + 5) and (x + 4)
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