How many rectangles with sides of measures can be drawn with 36 cm as perimeter? Also , find the dimensions of the rectangle whose area is maximum.
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hlo..
here is your answer dear
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Let the other side of the rectangle be x. Then,
2(x+y) = 20
x+y = 10
y = 10 - x (we express the other side in terms of x)
A = x(10-x) = -x^2 +10x
A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle.
- maximum area is 5*5 = 25 m^2
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