Apply the technique love using the coordinates to find the length and the width of the polygon use the lens in the woods to find the perimeter of the polygon in miles rectangle ABCD has vertical Point A (1, -3)
To find the length and width of the rectangle ABCD, we first need to determine the coordinates of points B, C, and D. Given that point A is at (1, -3) and that it is a rectangle, we can use the properties of rectangles to calculate the coordinates of the other points.
Since the opposite sides of a rectangle are equal in length, we can determine the length and width of the rectangle by finding the difference in the x-coordinates for the length and the difference in the y-coordinates for the width.
Let's assume that the length of the rectangle is from A to B, and the width is from A to D.
Let's start by finding the coordinates of point B. Since point B is directly above point A in a rectangle, the x-coordinate of B will be the same as the x-coordinate of A, while the y-coordinate will differ.
Given that point A is (1, -3), point B will be (1, y). To find the y-coordinate of point B, we can use the length of the rectangle. Let's assume the length is L. Since point A is at (-3) and point B is directly above, the y-coordinate of point B will be (-3 + L). Therefore, the coordinates of point B will be (1, -3 + L).
Next, let's find the coordinates of point D. Since point D is to the right of point A in a rectangle, the y-coordinate of D will be the same as the y-coordinate of A, while the x-coordinate will differ.
Given that point A is (1, -3), point D will be (x, -3). To find the x-coordinate of point D, we can use the width of the rectangle. Let's assume the width is W. Since point A is at 1 and point D is directly to the right, the x-coordinate of point D will be (1 + W). Therefore, the coordinates of point D will be (1 + W, -3).
Now, with the coordinates of points A, B, C, and D, we can calculate the length and width of the rectangle. The length will be the difference in y-coordinates, which is L = (-3 + L) - (-3) = L. The width will be the difference in x-coordinates, which is W = (1 + W) - 1 = W.
To find the perimeter of the rectangle, we can use the formula Perimeter = 2(length + width) = 2(L + W). Given that the length and width of the rectangle are L and W, respectively, the perimeter of the rectangle will be 2(L + W).
Therefore, the length of the rectangle is L and the width is W, and the perimeter of the rectangle is 2(L + W) miles.