Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th
e ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
72.5 in2
75.5 in2
83 in2
96 in2
72.5 in2
75.5 in2
83 in2
96 in2
2 answers:
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Given:
Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).
To find:
Whether the parallelogram ABCD is a rhombus, rectangle or square.
Solution:
Distance formula:
Using distance formula, we get
Similarly,
All sides of parallelogram are equal.
Both diagonals are equal.
Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.
We know that, a square is special case of rectangles and rhombus.
So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.