Math, asked by gonsalvesmaxcel, 2 months ago

When 5 is added to length & breadth of the rectangle, the perimeter

becomes 26. What is the mathematical form of the statement?​

Answers

Answered by malatiravindra
1

Answer:

l + b = 3

Step-by-step explanation:

Let length and breadth of a rectangle be l and b respectively. Then perimeter of rectangle is given as

2(l + b).

According to the question, 5 is added to both length and breadth, to make perimeter 26. So equation becomes,

26 = 2(l+5 + b+5)

26/2 = l + b + 10

13 - 10 = l + b

Hence, l + b = 3 is the mathematical form.

Answered by SANDHIVA1974
1

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

彡 b.) x + y = 3

___________________________________⇣⇣

★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.

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