Question

What is the area of the square ABCD shown

below?
0
B
A (2,4)
C
D (9,4)
X
Not drawn accurately

Answer 1

49 square units

Explanation:

A line connecting two points is known as a line segment

Since ABCD is a square, this means that the length of each side is equal to each other:

Length of

line segment AB = line segment BC = line segment CD = line segment AD

The length of a horizontal line on a graph can be determined by taking the difference of the x-coordinates of the two points.

∴Length of line segment AD =
`(9 - 2)` units

= 7 units

This means each side of the square measures a length of 7 units

∴Area of square ABCD =
`l^(2)`
`units^(2)`

=
`7^(2)`
`units^(2)`

=
`49` square units