Kerala Board Solutions for Chapter: Second Degree Equations, Exercise 6: Exercise 6

The perimeter of a rectangle is $42$ metres and its diagonal is $15$ metres. What are the lengths of its sides?

How many consecutive natural numbers starting from $1$ should be added to get $300$?

What number added to $1$ gives its own square?

In writing the equation to construct a rectangle of specified perimeter and area, the perimeter was wrongly written as $24$ instead of $42$. The length of a side was then computed as $10$ metres. What is the area in the problem? What are the lengths of the sides of the rectangle in the correct problem?

In copying a second degree equation to solve it, the term without $x$ was written as $24$ instead of $-24$. The answers found were $4$ and $6$. What are the answers of the correct problem?