The area of the rhombus ABCD is .
Further explanation:
Formula used:
The area of the rhombus is calculated as follows:
Here, and is the length of the diagonals.
The distance between the two points and is calculated as follows:
Calculation:
The coordinates of the corner points of rhombus ABCD are A ,B , C and D .
The diagonals of the rhombus ABCD are AC and BD as shown in attached Figure 1.
The distance between the point A and C is calculated as follows:
Therefore, the length AC is .
The distance between the point B and D is calculated as follows:
Therefore, the distance BD is .
The area of the rhombus ABCD is calculated as follows:
Therefore, the value of is .
Thus, the area of the rhombus ABCD is .
Learn more:
1. Learn more about problem on coordinate of the graph brainly.com/question/1286775
2. Learn more about problem on equations brainly.com/question/1473992
3. Learn more about problem on triangles brainly.com/question/7437053
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Quadrilateral
Keywords: Area, rhombus, distance, coordinate, diagonal, length, quadrilateral, ABCD, distance formula, mensuration, mathematics, corner points.