Question

When 5 is subtracted from 1 poin
length and breadth of the
rectangle, the perimeter
becomes 26. What is the
mathematical form of the
statement?​

Answer 1

Step-by-step explanation:

When 5 is subtracted from 1 poin

length and breadth of the

rectangle, the perimeter

becomes 26.

.•. let the length be x- 5and breadth be y-5

.•. perimetre of rectangle = 2( length + breadth)

26 = 2( x-5 + y-5 )

26 = 2 ( x+y -10)

26/2 = x + y - 10

13 = x+y -10

13 + 10 = x+y

x+y = 23

Answer 2

Corrected Question:

• When 5 is subtracted from the length and Breadth of the rectangle, the perimeter becomes 26. What is the mathematical form of the statement.

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❍ Let the length and Breadth of the given rectangle be x and y respectively.

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A/Q,

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• When 5 is subtracted from the length and Breadth of the rectangle, the perimeter becomes 26.

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Therefore,

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☆ Length and Breadth of the rectangle —

• Length = ❨x – 5❩
• Breadth = ❨y – 5❩

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$\rule{100px}{.3ex}$

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P E R I M E T E R :

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⭒By using F O R M U L A

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$\bigstar\;{\underline{\boxed{\pink{\frak{Perimeter_{\;(rectangle)} = 2\Big(Length + Breadth \Big)}}}}}$

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Now,

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$\dashrightarrow\sf Perimeter_{\:(rectangle)} = 2\bigg\{(x - 5) + (y - 5)\bigg\} \\\\\\\dashrightarrow\sf 26 = 2\bigg\{x + y - 10\bigg\} \\\\\\\dashrightarrow\sf \cancel\dfrac{26}{2} = \bigg\{x + y - 10\bigg\}\\\\\\\dashrightarrow\sf 13 = x + y - 10\\\\\\\dashrightarrow\sf 13 + 10 = x + y \\\\\\\dashrightarrow\underline{\boxed{\frak{\pmb{\purple{x + y = 23}}}}}\;\bigstar$

⠀

$\therefore{\underline{\textsf{Hence, \;the\: required\: statement\:is\:\textbf{(x + y = 23)}.}}}$

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