Area of Polygons Practice
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Question
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A polygon is shaped like a trapezoid attached to the top of a vertical rectangle. The length of the rectangle is 7.2 and the width is 6. The perpendicular height of the trapezoid is 3, marked with a dashed vertical line forming an extension of the rectangle to the top left vertex of the trapezoid. The part of trapezoid that extends outward and perpendicular to both sides of the rectangle measures 1.
Find the area of the polygon.
ALL THE CORRECT ANSWERS TO THE PRACTICE (THE QUICK CHECK ANSWERS ARE IN HERE TO) <3
1. 245
2. 52
3. 65
4. 24
5. 64.2
QUICK CHECK ANSWERS
1. 62.5
2. 268
3. 58
4. 42
5. 165
THEY ARE ALL RIGHT I PROMISE<3
THANK YOU salty_seungminnie
First, let's find the area of the rectangle. The area of a rectangle is found by multiplying the length and the width.
Area of the rectangle = 7.2 * 6 = 43.2 square units.
Now, let's find the area of the trapezoid. The formula for the area of a trapezoid is (1/2) * (base1 + base2) * height.
Base1 of the trapezoid = 6 (the same as the width of the rectangle)
Base2 of the trapezoid = 6 + 2 (the length of the rectangle and the two extra parts, each measuring 1)
So, Base2 = 8
Now, we can find the area of the trapezoid:
Area of trapezoid = (1/2) * (6 + 8) * 3 = (1/2) * 14 * 3 = 7 * 3 = 21 square units.
Finally, we can find the total area of the polygon by adding the areas of the rectangle and the trapezoid:
Area of polygon = Area of rectangle + Area of trapezoid
Area of polygon = 43.2 + 21
Area of polygon = 64.2 square units.
So, the area of the polygon is 64.2 square units.