Question

Use the diagram and the Pythagorean Theorem to find the EXACT area of square ABCD

Answer 1

Answer:

c. 25

Step-by-step explanation:

Answer 2

ANSWER

The area of square ABCD is
$25 \: square \: unit$

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,

${|AD|}^{2} = { |AG| }^{2} + { |GD| }^{2}$

We can read from the graph that, each box is one unit.

This implies that,

${|AD|}^{2} = {4}^{2} + {3}^{2}$


${|AD|}^{2} =16 + 9$

${|AD|}^{2} =25$

Therefore the area of square ABCD is 25 square units.

The correct answer is option C.