Question

When 5 is added to length & breadth of the rectangle, the perimeter
becomes 26. What is the mathematical form of the statement?
a) x – 7 = 8 b) x + y = 3 c) x + y = 8 d) 8x + y = 21​

Answer 1

Answer :-

The mathematical form is b) x + y = 3.

Step-by-step explanation :

To Find :-

• The mathematical form.

Solution:

Given,

• When, 5 is added to length and breadth, the perimeter becomes 26

Assumption:

Let us assume the length and breadth of rectangle as x and y respectively.

According the question,

When 5 is added to length and breadth,

• Length = x + 5
• Breadth = y + 5

We know,

$\underline{\boxed{\textsf{\textbf{Perimeter \: of \: Rectangle = 2 ( l + b )}}}}$

Where,

• l = Length
• b = Breadth

Also given, the perimeter becomes 26, Therefore,

$\sf{\longrightarrow \: 2 ( x + 5 + y + 5 ) = 26}$

$\sf{\longrightarrow \: x + 5 + y + 5 = \dfrac{26}{2}}$

$\sf{\longrightarrow \: x + 5 + y + 5 = 13}$

$\sf{\longrightarrow \: x + 10 + y = 13}$

$\sf{\longrightarrow \: x + y = 13 - 10}$

$\sf{\longrightarrow \: x + y = 3}$

Hence, The mathematical form is “x + y = 3”.

Answer 2

${ \boxed{ \underline{ \huge{ \displaystyle{ \pink{αnswєr}}}}}}$

彡 b.) x + y = 3

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★GIVEN:-

• When 5 is added to length & breadth of the rectangle, the perimeter
• becomes 26.

So,

• Perimeter of Rectangle = 26.

• 5 is added to length and breadth of Rectangle.

★TO FIND:-

• the mathematical form of the statement?

★FORMULA USED:-

• Perimeter of Rectangle = 2( length + Breadth)

★SOLUTION:-

Let us assume the Length and Breadth of Rectangle be ❝x❞ and ❝y❞ respectively.

According to the statement,

• Length became = x + 5

• Breadth became = y + 5

So,

$: \longrightarrow \displaystyle \sf{2 [(x + 5) + (y+5)] = 26 } \\ \\ : \longrightarrow \displaystyle \sf{2[x + 5 + y + 5] = 26} \\ \\ : \longrightarrow \displaystyle \sf{[x + y + 10] = \frac{26}{2} } \\ \\ : \longrightarrow \displaystyle \sf{[x + y + 10] = 13} \\ \\ : \longrightarrow \displaystyle \sf{[x + y ] = 13 - 10} \\ \\ : \longrightarrow {\displaystyle {\blue{ \huge{\sf{x + y = 3}}}}}$

So,

the mathematical form of the statement is

x + y = 3.