Question
a rectangle has vertices at (-2, 1) (3, 1), (3, -2) and (-2, -2)
what is the area of the rectangle
8
10
12
15
what is the area of the rectangle
8
10
12
15
Answers
GPT 3.5
To find the area of a rectangle, you need to multiply the length by the width.
The length of the rectangle can be found by calculating the difference in the x-coordinates of the vertices. In this case, the difference between the x-coordinates of points (-2, 1) and (3, 1) is 3 - (-2) = 5.
The width of the rectangle can be found by calculating the difference in the y-coordinates of the vertices. In this case, the difference between the y-coordinates of points (3, 1) and (3, -2) is 1 - (-2) = 3.
Now, multiply the length by the width: 5 * 3 = 15.
Therefore, the area of the rectangle is 15.
So, the correct answer is 15.
The length of the rectangle can be found by calculating the difference in the x-coordinates of the vertices. In this case, the difference between the x-coordinates of points (-2, 1) and (3, 1) is 3 - (-2) = 5.
The width of the rectangle can be found by calculating the difference in the y-coordinates of the vertices. In this case, the difference between the y-coordinates of points (3, 1) and (3, -2) is 1 - (-2) = 3.
Now, multiply the length by the width: 5 * 3 = 15.
Therefore, the area of the rectangle is 15.
So, the correct answer is 15.