Question 6
A)Find the area of a rectangle ABCD that has vertices point A (2,−5)
(
2
,
−
5
)
, point B (5,−5)
(
5
,
−
5
)
, point C (5,−1)
(
5
,
−
1
)
, and point D (2,−1)
(
2
,
−
1
)
in square miles.(1 point)
The area of rectangle ABCD is $$ square miles.
To find the area of the rectangle ABCD, we need to find the length of the base and the height.
The base of the rectangle is the distance between points A and B, which is given by:
base = 5 - 2 = 3 units
The height of the rectangle is the distance between points A and D, which is given by:
height = 5 - (-5) = 4 units
Therefore, the area of the rectangle ABCD is:
Area = base x height
Area = 3 units x 4 units
Area = 12 square units
Since 1 square mile is equivalent to 1 unit in this case, the area of the rectangle ABCD is 12 square miles.
Therefore, the area of rectangle ABCD is 12 square miles.