What is the area of the square ABCD shown in the figure?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 169 cm2
AD is a side of the square and also the hypotenuse of the right triangle AED (right angle at E), so Pythagoras gives its length.
\(AD^2=AE^2+ED^2=12^2+5^2=144+25=169\)
So the side of the square \(AD=13\) cm
Area of the square \(=AD^2=169\) cm2
Tip: The area of the square is \(AD^2\) itself, so once \(AE^2+ED^2=169\) is found, the answer is there without taking the square root.