Question

SOS HURRY

The vertices of a square are (-5,-4) (-2,-8) (1,-4) (-2,0) What is the area of the square?

Answer 1

First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.

Distance formula:

`\sqrt{(x.2 - x.1)^(2) + (y.2 - y.1)^(2)}`

√((-2 + 5)^2 + (-8 + 4)^2)

√((3)^2 + (4)^2)

√9 + 16

√25

5

The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.

5^2 = 25

The area is 25.