The area if a square is 49 sq cm A rectangle has the same perimeter as the square .lf the length of the rectangle is 9.3cm,what is its breadth? Also find which has greater area?
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Generally Area of a square whose side is S is S*S,
and also Perimeter of a square whose side is S is 4*S,
and also Perimeter of rectangle whose length is l and breadth is b is 2(l+b),
and also Area of Rectangle whose length is l and breadth is b is l*b
Given that Area of square = 49 cm²,
=> Side of Square = √49 cm = 7 cm,
Perimeter of the square = 4*7 cm = 28 cm,
Also Given that Perimeter of Square = Perimeter of Rectangle,
Let breadth of Rectangle be b,
=> 28 = 2(9.3+b)
=> 14 = 9.3 + b,
=> 4.7 cm = b, This is breadth ,
Area of Rectangle = 4.7 * 9.3 cm² = 43.71 cm², Which is less than area of square,
So therefore breadth of rectangle = 4.7 cm and Area of rectangle is less than area of square,
Hope you understand, Have a Great Day !
and also Perimeter of a square whose side is S is 4*S,
and also Perimeter of rectangle whose length is l and breadth is b is 2(l+b),
and also Area of Rectangle whose length is l and breadth is b is l*b
Given that Area of square = 49 cm²,
=> Side of Square = √49 cm = 7 cm,
Perimeter of the square = 4*7 cm = 28 cm,
Also Given that Perimeter of Square = Perimeter of Rectangle,
Let breadth of Rectangle be b,
=> 28 = 2(9.3+b)
=> 14 = 9.3 + b,
=> 4.7 cm = b, This is breadth ,
Area of Rectangle = 4.7 * 9.3 cm² = 43.71 cm², Which is less than area of square,
So therefore breadth of rectangle = 4.7 cm and Area of rectangle is less than area of square,
Hope you understand, Have a Great Day !
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Answer:
The breadth will be 4.7cm.
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