Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)

The area of the polygon CDEFGH is 7

Step-by-step explanation:

Area of a Polygon

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

Calculate both areas:

Total Area=4+3=7

The area of the polygon CDEFGH is 7

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step-by-step explanation: