Use the coordinates to compute the approximate area of the rectangle.
A (-3,-1)
B (-2,-4)
C (4,-2)
D (3,1)
(1 point)
Responses
30 units2
30 units squared
40 units2
40 units squared
20 units2
20 units squared
10 units2
To compute the approximate area of the rectangle, we can use the distance formula to find the length and width of the rectangle.
The distance between points A (-3,-1) and B (-2,-4) is:
√((-2 - (-3))^2 + (-4 - (-1))^2) = √(1^2 + (-3)^2) = √(1 + 9) = √10
The distance between points B (-2,-4) and C (4,-2) is:
√((4 - (-2))^2 + (-2 - (-4))^2) = √(6^2 + 2^2) = √(36 + 4) = √40
The length of the rectangle is √10 and the width is √40.
To find the area, we multiply the length by the width:
√10 * √40 = √(10*40) = √400 = 20
Therefore, the approximate area of the rectangle is 20 units2.