Respuesta :

Question:-

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What is the length and area of a rectangle whose perimeter is 24 cm and the breadth is 4 cm?

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Given:-

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  • Breadth of the rectangle = 4 cm

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  • Perimeter of the rectangle = 24 cm

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To find:-

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  • Length of the rectangle

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  • Area of the Rectangle

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Solution:

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❁We know:-

Perimeter of rectangle =2 ( Length + Breadth )

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By using this formula we can find length of rectangle

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So:-

↣ Perimeter of rectangle =2 ( Length + Breadth )

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↣ 24 =2 ( Length + 4 )

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↣24 = 2(Length) + 2(4)

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↣24 = 2(Length) + 2 × 4

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↣24 = 2(Length) + 8

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↣24 - 8 = 2(Length)

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↣ 16 = 2(Length)

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↣2(Length) = 16

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↣ Length = 16/2

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↣ Length = 8 cm

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Now Finally Let's find area :-

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❁We know:-

Area of rectangle = Length × Breadth

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So:-

⇢Area of rectangle = Length × Breadth

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⇢Area of rectangle = 4 × 8

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⇢Area of rectangle = 32 cm²