Question

Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).

What is the area of the square when rounded to the nearest whole number?

Answer 1

To find the area of the square, use the distance formula to find the length of one side and then square it. Finally, round the area to the nearest whole number.

Step-by-step explanation:

To find the area of the square, we need to find its side length. We can use the distance formula between two points to find the length of one side, such as AB. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

Using the given coordinates, we can find the lengths of AB, BC, CD, and DA. Since it's a square, all sides have the same length. Once we have the length of one side, we can square it to find the area of the square. Rounding the area to the nearest whole number will give us the final answer.