D) 50 square units
50 square unitsArea of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m^2).
the area of square = side^2 square units
and the perimeter of a square = 4 × side units
As per graph, given polygon is a square
WKT,
Side of the square is:
√({5^2+5^2})
= √(50)
= 5√2
Area of the square is:
= a^2
= (5√2)^2
= 25*2
= 50 square units
Correct answer option is:
D) 50 square units
Learn more about squares at : https://brainly.in/question/1761338
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Disclaimer : The correct question is attached below
Question :
The vertices of a polygon are : (0,0), (5,-5), (-5,-5), (0,-10)
Find the area of the polygon with the given coordinates.
A) 10 square units
B) 25 square units
C) 40 square units
D) 50 square units
