Question
2 The coordinates of the vertices of a rectangle area \( (-4,-3),(-4,3),(4,3) \), and \( (4,-3) \). What is the area of the rectangle in square units? A 14 B 28 C 48 D 96
Ask by Munoz Pierce. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the rectangle is 48 square units.
Solution
To find the area of the rectangle, we first determine its length and width using the vertex coordinates.
The horizontal distance (length) can be calculated from the x-coordinates:
Length = 4 - (-4) = 8 units.
The vertical distance (width) can be calculated from the y-coordinates:
Width = 3 - (-3) = 6 units.
Now, the area is given by:
Area = Length × Width = 8 × 6 = 48 square units.
Thus, the correct answer is 48, which corresponds to option C.
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Simplify this solution Beyond the Answer
To find the area of the rectangle, you can use the distance formula to determine the length and width. The length can be calculated using the distance between the points (-4, -3) and (4, -3), which is 4 - (-4) = 8 units. The width can be calculated using the distance between (-4, -3) and (-4, 3), which is 3 - (-3) = 6 units. The area is then length times width: \(8 \times 6 = 48\) square units. Thus, the area of the rectangle is \(48\) square units. The correct answer is C 48.
