Question

The perimeter of rectangle is equal to the perimeter of the square of side 8cm. if the length of the rectangle is 10,cm find its breadth.
Ans= 6cm
please solve​

Answer 1

$\huge {\red{\boxed{ \overline{ \underline{ \mid\mathfrak{An}{\mathrm{sw}{ \sf{er}} \colon\mid}}}}}}$

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➠ Given

• Perimeter of rectangle is equal to the perimeter of the square.

• Side of the square is 8 cm.

• Length of the rectangle is 10 cm.

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➠ To Find

We have to find the breadth of the rectangle.

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➠ Solution

We know that,

$\Large{\star{\boxed{\sf{Perimeter = 4 \times side}}}}$

$\sf{\implies Perimeter = 4 \times 8} \\ \\ \sf{\implies Perimeter = 32 \: cm}$

∴ Perimeter of rectangle is 32 cm.

$\rule{200}{2}$

Now,

$\Large{\star{\boxed{\sf{Perimeter = 2(Length + Breadth)}}}}$

$\sf{\implies 32 = 2(10 + Breadth)} \\ \\ \sf{\implies \frac{\cancel{32}}{\cancel{2}} = 10 + Breadth} \\ \\ \sf{\implies 16 = 10 + Breadth} \\ \\ \sf{\implies 16 - 10 = Breadth} \\ \\ \sf{\implies Breadth = 6 \: cm}$

$\Large{\star{\boxed{\sf{Bradth = 6 \: cm}}}}$

Answer 2

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Problem:-}}}}}}$

The perimeter of rectangle is equal to the perimeter of the square of side 8cm. if the length of the rectangle is 10,cm find its breadth.

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}$

__________________________

➠ Given

Perimeter of rectangle is equal to the perimeter of the square.

Side of the square is 8 cm.

Length of the rectangle is 10 cm.

__________________________

➠ To Find

We have to find the breadth of the rectangle.

___________________________

➠Solution

We know that,

➠Perimeter = 4 × side

➠Perimeter = ( 4 × 8 )cm

➠Perimeter= 32 cm

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Perimeter=2(Length+Breadth)

$\begin{lgathered}\sf{\implies 32 = 2(10 + Breadth)} \\ \\ \sf{\implies \frac{\cancel{32}}{\cancel{2}} = 10 + Breadth} \\ \\ \sf{\implies 16 = 10 + Breadth} \\ \\ \sf{\implies 16 - 10 = Breadth} \\ \\ \sf{\implies Breadth = 6 \: cm}\end{lgathered}$

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Hence,The Breadth = 6 centimetres