Question

In the figure, we have a cube with sides with a length of $4$ each.
The area of rectangle $ABGH$ is

• A. $15.28$
• B. $16.52$
• C. $18.9$
• D. $22.62$
• E. $19.05$

Answer 1

The correct option is D $22.62$

$A{H}^2=A{D}^2+D{H}^2\Rightarrow AH=4\sqrt{2}$

$\therefore ABGH=4\times 4\sqrt{2}(AB\times AH)$

$=16\sqrt{2}=22.62$