Math, asked by alexamipara9, 5 months ago

The perimeter of a rectangle is 32 m. Its length is 10 m, find its breadth 

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Answers

Answered by Cutiee00
1

Answer:

breadth is 6m

Step-by-step explanation:

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Answered by DüllStâr
88

Question:

The perimeter of a rectangle is 32 m. Its length is 10 m, find its breadth.

To find:

  • Breadth of rectangle

Given:

  • Perimeter of rectangle = 32 m

  • Length of rectangle = 10 m

Let:

  • Breadth of rectangle = x

Solution:

We know :

 \bigstar \boxed{ \rm perimeter \: of \: rectangle = 2(length + breadth}

By using this formula we can find value of breadth of rectangule

:  \implies\sf perimeter \: of \: rectangle = 2(length + breadth \\

Insert Value of length,breadth (which we have supposed) and Perimeter of rectangle.

:  \implies\sf 32= 2(10 + x) \\

:  \implies\sf  \dfrac{32}{2} = (10 + x) \\

:  \implies\sf   \cancel\dfrac{32}{2} = (10 + x) \\

:  \implies\sf (10 + x) = 16 \\

:  \implies\sf x= 16 - 10 \\

:  \implies \underline{ \boxed{\sf x= 6m}}\\

As we have supposed Breadth as x

.°. Breadth of rectangle = 6m

Now Let's Verify whether value of Breadth is correct or not

:  \implies\sf 32= 2(10 + x) \\

Put value of x in this equation:

:  \implies\sf 32= 2(10 + 6) \\

:  \implies\sf 32= 2(16) \\

:  \implies\sf 32= 2 \times 16 \\

:  \implies \underline{ \boxed{\sf 32= 32}}\\

  \large \gray\dag  \blue{ \underline{ \sf RHS=LHS }}\gray\dag

Hence Verified!

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