Question

$(x+y{)}^2$ can be visualized as

• A. Area of a rectangle whose length and breadth are $x+y$ and $x-y$ respectively.
• B. Area of a rectangle whose length and breadth are $x-y$ and $x+y$ respectively.
• C. Area of a square whose side is $x+y$
• D. Area of a square whose side is $x-y$

Answer 1

The correct option is C Area of a square whose side is $x+y$

$(x+y{)}^2$ can be written as:
$(x+y{)}^2=(x+y)\times (x+y)$

Let's consider a square of side $x+y$.

Area of square of side $x+y$
$=(x+y)\times (x+y)$
$=(x+y{)}^2$

We can say that $(x+y{)}^2$ can be visualized as the area of square of side $x+y$.
Therefore, option (c.) is the correct answer.