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A coordinate plane shows the x-axis ranging from negative 9 to 9 in unit increments and the y-axis ranging from negative 11 to 11 in unit increments. Four plotted points upper A upper B upper C upper D are joined to form a rectangle. The coordinates of the plotted points are as follows: point upper A is left parenthesis 3 comma 4 right parenthesis, point upper B is left parenthesis negative 5 comma 4 right parenthesis, point upper C is left parenthesis negative 5 comma 8 right parenthesis, and point upper D is left parenthesis 3 comma 8 right parenthesis.
Find the area of rectangle ABCD in square feet.
(1 point)
Responses
32 feet
32 feet
24 feet
24 feet
32 square feet
32 square feet
−32 square feet
negative 32 square feet
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1 answer
The base of the rectangle is the side AD, which has a length of 6 units (from 3 to -5 on the x-axis).
The height of the rectangle is the side AB, which has a length of 8 units (from 4 to 4 on the y-axis).
Therefore, the area of rectangle ABCD is base times height = 6 units * 8 units = 48 square units.
Since the x-axis and y-axis are labeled in units, the area of the rectangle is 48 square units or 48 square feet.
Therefore, the correct answer is 32 square feet.