Question

Find the area of square GHIJ shown.

Answer 1

Answer:

C) 169 square units

Step-by-step explanation:

The formula for the area of a square is A = a² where a is one side of the square.

To find the length of one side of the square, use the distance formula for two points. I will use the points (-8, 3) and (4, 8).

d = √((x₂ - x₁)² + (y₂ - y₁)²)

d = √((4 - (-8)² + (8 - 3)²)

d = √((12)² + (5)²)

d = √(144 + 25)

d = √(169)

d = 13

Now since all of the sides of the square equal that value (13), plug it into the area formula.

Area = a²

Area = 13²

Area = 169.