Which of the following is the area of a quadrilateral with vertices at (-4,,,-3) and (-4,-3) a)20units^2 b)25units^2 c)31units^2 d)36units^2

The correct option is B.

Step-by-step explanation:

The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).

Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.

Distance formula:

Use distance formula to find the side length.

Since both consecutive sides are equal therefore it is a square.

Area of a square is

Where, a is side length.

The side length of the square is 5. So, area of ABCD is

Therefore the area of quadrilateral is 25 units square. Option B is correct.

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step-by-step explanation: