Question

If the area of the figure joining the midpoints of two adjacent sides of the square is x, then what is the area of the square?

• A. 2x
• B. 4x
• C. 8x
• D. 5x

Answer 1

The correct option is C

8x

Let the side of the square be a
Area of $\Delta EFD=\frac{1}{2}\times ED\times FD$
$=\frac{a^2}{8}$
$=\frac{a^2}{8}=x$
$a^2=8x$