Question

2. A square is graphed with the vertices at A(-5,-1)A(-5,-1), B(-2,3)B(-2,3), and

C(2,0)C(2,0), and D(-1,-4)D(-1,-4). what is the area of the square?​

Answer 1

25 sq. units

Explanation:

Because it is a square, you only have to find one if its side lengths. Let's say you choose to find the distance between B and C. You'll be finding the length of a hypotenuse due to the fact that the two points are diagonal from each other. Use the x and y values to discover the lengths of the legs of the triangle. In this instance, they are 3 and 4. Using background knowledge of the properties of triangles, I know that the hypotenuse of a right triangle with legs of 3 and 4 must be 5. Therefore, the side length of this square is 5. To find the area of a square, simply multiply its side length by itself. 5 x 5 = 25!