Question in Title : Number and Algebra
(Using Algebraic Method t Find the Properties of Quadratic Functions)
Question : If the perimeter of a rectangle is 4m, find the max area of this rectangle.
Answer : 1m²
but my answer is 4m²
how to find the correct answer?
thx~
F.4 Maths (Quadratic Equation)
2009-06-15 12:52 am
回答 (2)
2009-06-15 3:41 am
✔ 最佳答案
Let the wide of rectangle be xm.Then the length of rectangle be (2-x)m.
The Area=x(2-x)
=2x-x2
=-(x2-2x)
=-[(x2-2x+1)-1]
=-(x-1)2+1
∴The max area of this rectangle is 1m2.
2009-06-15 3:43 am
o~thank you
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