7. Exercise problems III

Represent the following situations in the form of quadratic equations. 

 

(i) The area of a rectangular plot is $528$ m$^2$. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.  

 

Required quadratic equation $=$

 

(ii) The product of two consecutive positive integers is $306$. We need to find the integers.

 

Required quadratic equation $=$

 

(iii) Rohan’s mother is $26$ years older than him. The product of their ages (in years) $3$ years from now will be $360$. We would like to find Rohan’s present age.

 

Required quadratic equation $=$