Question

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

Answer 1

mathematical statement is nothing but A statement (or proposition) is a sentence that is either true or false (both not both). So '3 is an odd integer' is a statement. But 'π is a cool number' is not a (mathematical) statement. Note that '4 is an odd integer' is also astatement, but it is a false statement

Answer 2

Let the length of the rectangle =x

and breadth of the rectangle =y

so accoding to question

$2({(x - 5) + (y - 5)}) = 26 \\ \\ 2(x + y - 10) = 26 \\ \\ x + y - 10 = \frac{26}{2} \\ \\ = > x + y - 10 = 13 \\ \\ = > x + y - 10 - 13 =0\\ \\ = > x + y - 23 = 0 = > x + y = 23 \\ \\ = > 2(x + y) = 2 \times 23 \\ = > 2(x + y) = 46 \\ \\ = > actual \: perimeter \: of \: the \: rectangle \: is \: 46 \\ \\ and \: the \: of \: length \: and \: breadth \: of \: the \: rectangle \: is \: 23$

Hope it helps...