Question

The area of a rectangle gets reduced by 67 square meters, when its length is incrased by 3m and breadth is decred by 4m. If the lenght is reduced by 1 m breadth is incrased by 4m, the area is incrased by 89 square meters. Find the dimesions of the rectangle.

Answer 1

Correct Answer - length = 28 m, breath = 19 m
Let length = x metres and breadth = y metres. Then,
` x y - (x + 3) ( y - 4) = 67 rArr 4x - 3y = 55`.
`and " " (x -1) ( y + 4) - xy = 89 rArr 4x - y = 93.`