Question

Square ABCD has coordinates A (-3,7), B (2,7) C (2,2) and D (-3,2). What is the area of the square

Answer 1

check the picture below. You can pretty much count the units off the grid.

Answer 2

we are given

ABCD is a square

whose coordinates are A (-3,7), B (2,7) C (2,2) and D (-3,2)

Firstly , we will find length of sides

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where (x1,y1) and (x2,y2) are two points

For AB:

A (-3,7), B (2,7)

$AB=\sqrt{(7-7)^2+(2+3)^2}$

$AB=5$

we know that

area of square = side*side

so, we can find area

$Area=AB^2$

$Area=5*5$

$Area=25$.............Answer