A rectangle has a perimeter of 100 cm.find the greatest possible area for the rectangle
Answers
Answered by
3
Answer:
624 sq cm
Step-by-step explanation:
We know the perimeter of rectangle = 2*(length + width) unit.
Here 2*(length + width) = 100 cm
So, length + width = 100/2 = 50 cm
In rectangle length is always bigger than width.
By assuming, If length & width equals, it becomes square and area is the biggest i.e. 25 * 25 = 625 sq cm.
But, length will be bigger. Hence greatest possible area of this rectangle will be if length is 26 cm and width is 24 cm. So area will be 26*24 = 624 sq cm.
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Answered by
3
AnSwer -:
the greatest possible area for
the Rectangle is = 624 sq. cm
______________________________
_____________________________
Explanation-:
We know that ,
Perimeter of Rectangle = 2 (l + b)
L = length
B= breadth
So ,
Given ,
Perimeter of square-: 100 cm
Then ,
2 (L + B )=100 cm
L + b = 100 cm /2
L+ b = 50 cm
Then ,
In rectangle length is always bigger than
width.
By assuming length and width equal it
will become square and area =
Length of side of a square = 25
Or ,
Length of Rectangle = 25
Breadth of Rectangle = 25
Area of square = side x side
Area of Rectangle = length x breadth
25 x 25 =
= 625 sq . cm
But length will be bigger ,
Hence
greatest possible area of this rectangle
will be if
length is 26 cm
and
width is 24 cm.
Then Area of Rectangle = l x b
26 x 24 = 624 sq. cm
Therefore the greatest possible area for
the Rectangle is = 624 sq. cm
______________________________
Formulas related to the question-:
Area of Rectangle = length x breadth
Areas of square = side x side
______________________________
the greatest possible area for
the Rectangle is = 624 sq. cm
______________________________
_____________________________
Explanation-:
We know that ,
Perimeter of Rectangle = 2 (l + b)
L = length
B= breadth
So ,
Given ,
Perimeter of square-: 100 cm
Then ,
2 (L + B )=100 cm
L + b = 100 cm /2
L+ b = 50 cm
Then ,
In rectangle length is always bigger than
width.
By assuming length and width equal it
will become square and area =
Length of side of a square = 25
Or ,
Length of Rectangle = 25
Breadth of Rectangle = 25
Area of square = side x side
Area of Rectangle = length x breadth
25 x 25 =
= 625 sq . cm
But length will be bigger ,
Hence
greatest possible area of this rectangle
will be if
length is 26 cm
and
width is 24 cm.
Then Area of Rectangle = l x b
26 x 24 = 624 sq. cm
Therefore the greatest possible area for
the Rectangle is = 624 sq. cm
______________________________
Formulas related to the question-:
Area of Rectangle = length x breadth
Areas of square = side x side
______________________________
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