Question

when 5 is subtracted from length and breadth of rectangle, the perimeter becomes 26. What is the mathematical form of the statement

Answer 1

let,
length of the rectangle = L
and, breadth of the rectangle = B

ATQ
new length = L-5
new breadth = B- 5
and perimeter = 26
or, 2(L-5 + B-5) = 26
=> 2(L+B -10) =26
=> L+B -10 =13
=> L+B =23

Answer 2

Answer:

$23 = x+y$

Step-by-step explanation:

Let the length of rectangle be x

Let breadth of rectangle be y

When 5 is subtracted from length and breadth of rectangle,

x → x-5

y→ y-5

Formula of perimeter of rectangle : $2(Length+Breadth)$

So, Perimeter = $2(x-5+y-5)$

$26 = 2(x+y-10)$

$\frac{26}{2} = 2(x+y-10)$

$13 = x+y-10$

$23 = x+y$

Hence the mathematical form of the statement is $23 = x+y$