Area Rectangle Gets Reduced Units Its Length Reduced Units And Breadth Increased By Units

The area of a rectangle gets reduced by 80 sq. units if its length is reduced by 5 units and … units. Find the length and breadth of…

Answers:

Let x and y be the length and breadth of the rectangle.

Then, area of the triangle = xy

Now, from the given conditions we get

( x – 5)(y + 2) = xy – 80

2x – 5y = –70  …(1)

( x + 10)(y – 5) = xy + 50

5x – 10y = –100  …(2)  

Simplifying (1) and (2), we get

x = 40 

putting value of x in (1), we get

y = 30