Question

In the given Square, XY is the line of symmetry. If AX=2cm. Find the area of the figure.

• A. $20{\text{cm}}^2$
• B. $34{\text{cm}}^2$
• C. $16{\text{cm}}^2$
• D. $8{\text{cm}}^2$

Answer 1

The correct option is C

$16{\text{cm}}^2$

The given figure is a square and $XY$ is the line of symmetry.
Hence, $AX=BX=2cm.$

Therefore,$AB=AX+BX$
$=2cm+2cm$
$=4cm$
Since the length of one side is given we can determine its area enclosed by the formula Side x Side.
$\therefore$ The area of the square $=4\times 4$
$=16{\text{cm}}^2$