Question

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

A) 23

B) 24

C) 25

D) 26

Answer 1

ANSWER

The area of square ABCD is

`25 \: square \: unit`

Step-by-step 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) = ^(2) + GD^(2)`

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

This implies that,


`AD^(2) = {4}^(2) + {3}^(2)`



`^(2) =16 + 9`


`AD^(2) =25`

Therefore the area of square ABCD is 25 square units.

The correct answer is option C.