Question

The area of a rectangle is 6x² – 4xy – 10y² square unit and its length is 2x + 2y unit. Find its breadth.

Answer 1

Area of a rectangle

= 6x² - 4xy - 10y² sq.units

Length = 2x + 2y units

∴ Breadth = `"Area"/"Length"`

`= ("6x"^2 - 4"xy" - 10"y"^2)/"2x + 2y"`

3x - 5y
`"2x" + "2y")overline(6"x"^2 - 4"xy" - 10"y"^2)(`
               6x² + 6xy 
              -       -           
              - 10xy - 10y²   
             - 10xy - 10y² 
             +         +         
               xxxx         
= 3x - 5y units

Hence breadthy = 3x - 5y units