A rectangle is drawn on a coordinate plane with vertices (0,0)
, (2,2)
, (9,−4)
, and (7,−6)
. Using the coordinates, what is the approximate area of the rectangle?(1 point)
Responses
52.2 units2
52.2 units squared
24.1 units2
24.1 units squared
25.76 units2
26.07 units squared
12.05 units2
To find the area of the rectangle, we can use the formula for the area of a rectangle, which is length multiplied by width.
Using the coordinates, we can find the length by subtracting the x-coordinates of two opposite vertices. In this case, let's take (2,2) and (0,0):
Length = 2 - 0 = 2
Similarly, we can find the width by subtracting the y-coordinates of the same two opposite vertices. Let's take (2,2) and (9,-4):
Width = 2 - (-4) = 2 + 4 = 6
Now that we have the length (2) and width (6), we can find the area:
Area = Length * Width = 2 * 6 = 12
Therefore, the approximate area of the rectangle is approximately 12 units squared.
Therefore the closest option is 12.05 units².