Use the image to answer the question.
A coordinate plane shows a rectangle A B C D plotted in the first quadrant. The x axis and y axis range from negative 2 to 10. A rectangle A B C D is plotted with points A at left parenthesis 1 comma 1 right parenthesis, B at left parenthesis 1 comma 5 right parenthesis, C at left parenthesis 4 comma 5 right parenthesis, and D at left parenthesis 4 comma 1 right parenthesis. The points are connected by solid lines and the area of the rectangle is shaded.
Calculate the area of the rectangular polygon.
(1 point)
Responses
7 square units
7 square units
14 square units
14 square units
12 square units
12 square units
6 square units
The area of a rectangle can be calculated by multiplying the length by the width.
In this case, the length of the rectangle AB is 4 units and the width is 4 units.
Area = 4 * 4 = 16 square units
Therefore, the area of the rectangular polygon is 16 square units.
None of the provided options are correct.
what is it
I apologize for the oversight in my previous response. Let me recalculate the area of the rectangular polygon.
The length of the rectangle AB is 4 units and the width is 4 units.
Area = Length * Width
Area = 4 * 4
Area = 16 square units
Therefore, the correct area of the rectangular polygon is 16 square units.
not it
I apologize for the error in my previous responses. Let's recalculate the area of the rectangular polygon based on the given coordinates.
To find the area of the rectangle, we can use the formula for the area of a rectangle:
Area = length * width
Given the coordinates:
A (1, 1)
B (1, 5)
C (4, 5)
D (4, 1)
Length = CD = 4 - 1 = 3 units
Width = AB = 5 - 1 = 4 units
Area = 3 * 4 = 12 square units
Therefore, the correct area of the rectangular polygon is 12 square units.