Question

Построить прямоугольник АВСD, если А(-4;5), С ( 3;-2). D (-4;-2). Найти координаты точки В и вычислить периметр прямоугольника. СРОЧНО!!!

Answer 1

Не понятно - спрашивай

Answer 2

Building a Rectangle and Calculating Perimeter

To build a rectangle ABCD with the given coordinates A(-4, 5), C(3, -2), and D(-4, -2), we can find the coordinates of point B and then calculate the perimeter of the rectangle.

Finding the Coordinates of Point B:

The coordinates of point B can be found using the properties of rectangles. Since a rectangle has opposite sides that are equal in length and parallel to each other, we can use this information to find the coordinates of point B.

Let's calculate the coordinates of point B using the given coordinates of points A, C, and D.

The coordinates of point B can be calculated using the formula: B(x, y) = C(x) - A(x) + D(x), C(y) - A(y) + D(y)

Substituting the given coordinates: B(x, y) = 3 - (-4) + (-4), (-2) - 5 + (-2)

Calculating the coordinates of point B: B(x, y) = 3 + 4 - 4, -2 - 5 - 2 B(x, y) = 3, -9

So, the coordinates of point B are B(3, -9).

Calculating the Perimeter of the Rectangle:

The perimeter of a rectangle can be calculated using the formula: Perimeter = 2 * (length + width)

Where the length and width can be calculated using the coordinates of the rectangle's vertices.

Let's calculate the perimeter of the rectangle using the coordinates of points A, B, C, and D.

The length of the rectangle = |A(x) - B(x)| = |(-4) - 3| = 7 The width of the rectangle = |A(y) - D(y)| = |5 - (-2)| = 7

Calculating the perimeter: Perimeter = 2 * (7 + 7) = 2 * 14 = 28

So, the perimeter of the rectangle is 28 units.

I hope this helps! If you have any further questions, feel free to ask.