Question

 'When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26'. What is the mathematical form of the statement​
A. x - y = 8

B. x + y = 8

C. 2x + y = 21

D. x + y =23

Answer 1

Answer :

When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26.

Let length be x and breadth be y.

$\longrightarrow$ 2 ( Length + Breadth ) = Perimeter of rectangle

$\longrightarrow$ 2 [ (x - 5) + (y - 5) ] = 26

$\longrightarrow$ 2 ( x - 5 + y - 5 ) = 26

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

$\longrightarrow$ x + y - 10 = $\sf \dfrac{26}{2}$

$\longrightarrow$ x + y - 10 = 13

$\longrightarrow$ x + y = 13 + 10

$\longrightarrow$ x + y = 23

Option D is correct.