Question

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

Options

• x - y = 8 

• x + y = 8

• x + y = 23

• 2x + y = 21

Answer 1

x + y = 23

Explanation:

Let the length be x and the breadth be y. 

According to the given condition,

new length l = x - 5 and new breadth b = y - 5 

Perimeter of the rectangle = 2(l + b) = 26

2(l + b) = 26

⇒ 2[(x - 5) + (y - 5)] = 26

⇒ [x + y - 10] = `26/2`

⇒ x + y - 10 = 13

⇒ x + y = 13 + 10 

⇒ x + y = 23