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Answer:
<em>The area of the polygon CDEFGH is 7</em>
Step-by-step explanation:
<u>Area of a Polygon</u>
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