the area of a square field is 5625m√ . A rectangular field whose length is twice its breadth an has its perimeter equal to the perimeter of the square field. Find the dimensions of the rectangle
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❥ Breadth of rectangle ↠ x ↠ 50m
❥ Length of rectangle ↠ 2x ↠ 100m
The area of a square field is 5625m² . A rectangular field whose length is twice its breadth an has its perimeter equal to the perimeter of the square field
Dimensions of rectangle
Area of square ↠ 5625 m²
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❥ side × side = 5625
❥ a² ↠ 5625
❥ a ↠ √5625
❥ a ↠ 75m
Perimeter of square
❥ 4 × side
❥ 4 × 75
❥ 300m ---(i)
Now,
Let the breadth be x then length be 2x of rectangle
As per given condition
Perimeter of rectangle = Perimeter of square
❥ 2(l + b) ↠ 4 × side
❥ 2(2x + x) ↠ 300 (Using i)
❥ 2 × 3x ↠ 300
❥ 6x ↠ 300
❥ x ↠ 300/6
❥ x ↠ 50 m
◆━━━━━━◆❃◆━━━━━━◆
Hence,
❥ Breadth of rectangle ↠ x ↠ 50m
❥ Length of rectangle ↠ 2x ↠ 100m
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