Use Coordinate Geometry to Solve Problems Quick Check

Question

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Question
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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 square feet
negative 32 square feet

24 feet
24 feet

32 feet
32 feet

32 square feet

Answer 1

To find the area of the rectangle ABCD, we can use the formula for the area of a rectangle: Area = length x width.

To find the length of the rectangle, we can calculate the difference between the x-coordinates of points A and B:
Length = 3 - (-5) = 3 + 5 = 8 units.

To find the width of the rectangle, we can calculate the difference between the y-coordinates of points A and D:
Width = 8 - 4 = 4 units.

Now we can calculate the area of the rectangle:
Area = 8 units x 4 units = 32 square units.

Therefore, the area of rectangle ABCD is 32 square units.