a rectangle has vertices at (-2, 1) (3, 1), (3, -2) and (-2, -2)
what is the area of the rectangle
8
10
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15
To find the area of a rectangle, we can use the formula:
Area = length * width
To find the length and width of the rectangle, we can use the given coordinates of the vertices.
The length can be found by calculating the difference between the x-coordinates of two adjacent vertices, and the width can be found by calculating the difference between the y-coordinates of two adjacent vertices.
Let's calculate the length and width.
Length = (3 - (-2)) = 5
Width = (1 - (-2)) = 3
Now, let's calculate the area.
Area = Length * Width
Area = 5 * 3
Area = 15
Therefore, the area of the rectangle is 15.
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.
To find the area of a rectangle, we can use the formula:
Area = length × width
In this case, we need to determine the length and width of the rectangle given its vertices.
The length of the rectangle can be found by finding the horizontal distance between two opposite vertices. In this case, the horizontal distance between (-2, 1) and (3, 1) is 5 units.
The width of the rectangle can be found by finding the vertical distance between the other two opposite vertices. In this case, the vertical distance between (3, 1) and (3, -2) is 3 units.
Now we can calculate the area:
Area = length × width
Area = 5 units × 3 units
Area = 15 square units
Therefore, the area of the rectangle is 15 square units.