Question

If the length of a rectangle is increased by 5 metres and breadth decreased by 3 metres, the area would decrease by 5 square metres. If the length is increased by 3 metres and breadth increased by 2 metres, the area would increase by 50 square metres
(a) If the length is x and breadth is y, write two equations
(b) Find the length and breadth​

Answer 1

Let the Length = x

• Breadth = y

Area = Lenghth × Breadth

⇒ Area = xy

Since,

Lenghth increase by 5 meters

Breadth decreases by 3 meters

• Lenghth = x + 5m

• Breadth = y - 3m

Area = xy - 5m²

⇒ xy - 5m² = x + 5m + y - 3m

⇒ xy - 5m² = x + y + 2m

• On Transposing The Terms

⇒ xy - 5m² - 2m - x = y

⇒ x - x - 5m² - 2m = y/y

⇒ - 5m² - 2m = 1