If you mean vertices at the points (-1, 5) and (-3, 1) then the area of the square works out as 20 square units
The only thing that can be said is that the quadrilateral will have an area that is smaller than the square. The exact value depends on the location of the vertices.
By plotting the given vertices and then joining them together on the Cartesian plane the shape of a isosceles triangle will be formed with an area of 78 square units.
To find the area of a square, we need the length of one side. The given coordinates appear to be the x-coordinates of the vertices, but without the corresponding y-coordinates, we cannot determine the vertices' positions or calculate the side length. Assuming the vertices were intended to be (36, 31), (-21, 31), (-21, -26), and (36, -26), the side length would be the difference in the x-coordinates, which is 36 - (-21) = 57. Thus, the area would be (57^2 = 3249) square units.
Plotting the given vertices on the Cartesian plane results in a right angle triangle with angles of 90 degrees, 26.565 degrees and 63.435 degrees including an area of 45 square units.
Plotted on the Cartesian plane its 4th vertex is at (1, 8) and it has sides of 2 times square root of 13 which gives it an area of 52 square units.
The shape described by those vertices is not a square.
Assuming that these are coordinates of the vertices, the area is 6 square units.
The only thing that can be said is that the quadrilateral will have an area that is smaller than the square. The exact value depends on the location of the vertices.
With the available information all that can be said is that the area of the second square will be less than that of the first. The question cannot be answered in any meaningful way without further information. For example, do the vertices of the second square lie on the sides of the first? How far from the vertices of the first? What angle is the second square rotated through?
By plotting the given vertices and then joining them together on the Cartesian plane the shape of a isosceles triangle will be formed with an area of 78 square units.
If you mean vertices of: (7, 3) (12, 3) (12, 11) (7, 11) then the area works out as 5 times 8 = 40 square units
To find the area of a square, we need the length of one side. The given coordinates appear to be the x-coordinates of the vertices, but without the corresponding y-coordinates, we cannot determine the vertices' positions or calculate the side length. Assuming the vertices were intended to be (36, 31), (-21, 31), (-21, -26), and (36, -26), the side length would be the difference in the x-coordinates, which is 36 - (-21) = 57. Thus, the area would be (57^2 = 3249) square units.
9 inches and 10 inches.
If the vertices are at (0, -2) (8, -2) and (9, 1) on the Cartesian plane plane then by using the distance formulae and trigonometry the area of the triangle works out as 12 square units.
Plotting the given vertices on the Cartesian plane results in a right angle triangle with angles of 90 degrees, 26.565 degrees and 63.435 degrees including an area of 45 square units.
The area of the rectangle works out as 7 times 6 = 42 square units
+/- the square root of 3