ANSWER
The area of square ABCD is
[tex]25 \: square \: unit[/tex]
EXPLANATION
The area of square ABCD is the square of the length of one side.
That is the area of ABCD is |AD|²
From Pythagoras theorem,
[tex] {|AD|}^{2} = { |AG| }^{2} + { |GD| }^{2} [/tex]
We can read from the graph that, each box is one unit.
This implies that,
[tex] {|AD|}^{2} = {4}^{2} + {3}^{2} [/tex]
[tex] {|AD|}^{2} =16 + 9[/tex]
[tex] {|AD|}^{2} =25[/tex]
Therefore the area of square ABCD is 25 square units.
The correct answer is option C.
