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A. what is the area of this polygon
B. Describes the steps taken to get this area

A. what is the area of this polygon B. Describes the steps taken to get this area-example-1

1 Answer

7 votes

A. The area is 4 square units

B. The description is below

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Break the figure into two parts along the dashed line. So we get a triangle on the left and a rectangle on the right.

The triangle has horizontal base of 3-1 = 2, and height 2. It's area is base*height/2 = 2*2/2 = 4/2 = 2 square units.

The rectangle is 1 by 2, so it's area is length*width = 1*2 = 2 square units.

Combine the two smaller areas to get the overall area: 2+2 = 4 square units

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As an alternative, you can use the trapezoid area formula

b1 = 3 and b2 = 1 are the two parallel bases

h = 2 is the height

A = area of trapezoid

A = h*(b1+b2)/2

A = 2*(3+1)/2

A = 2*4/2

A = 8/2

A = 4 square units

User Adam Liter
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