Question

When 5 is added to length & breadth of the rectangle, the perimeter becomes 26. What is the mathematical form of the statement?

Answer 1

Step-by-step explanation:

original length = l cm

original breadth = b cm

original perimeter = 2( l + b)

now

new length = l + 5 cm

new breadth = b + 5 cm

then perimeter = 2( l+5+b+5)

26 = 2 (l+b+10)

l+b+10= 13

l+b=3

Answer 2

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

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.