Trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 10 square units 12 square units 20 square units 24 square units mathematics

In geometry we are taught to find the area of a shape by a given formula. For example, the trapezoid shown in the figure has a formula for area of

A = 1/2 *((base 1 + base 2)/2)*height

But for polygons drawn on a Cartesian plane with known coordinates, the formula for area is

A = 1/2 * determinant

The determinant refers to the determinant of the matrix of coordinates. It is a two-column matrix, wherein the first column is the x-coordinate and the second is the y-coordinate. Just make sure that the points are arranged such that they are adjacent with each other. The matrix for this would be

   -5   -2   < point A

   -1    2   < point B

    0   -1   < point C

    -2  -3   < point D

   -5   -2   < point A

Just cross multiply the coordinate with a pattern shown in the picture. Don't mind the numbers. Focus on the pattern for determining the matrix. In this case,

Area = 1/2 * [(-10-2)+(1-0)+(0-2)+(4-15)]

Area = 12 square units

Step-by-step explanation: So the answer is 12 square units

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step-by-step explanation: