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For #1-7, calculate the area for each of the polygons described below. Round answers to the nearest hundredth and remember to include the unit of measure.
- For #3, 4, and 5, divide the polygon into triangles as shown in the lesson.
- You must show the work for any values not provided in the problem, including the height for the triangles in #1, 3, 4, and 5.
- Do not use formulas from other sources.
1. An equilateral triangle with a side of 1 inch
2. A square with a side of 2 feet
3. A regular pentagon with a side of 3 centimeters
4. A regular hexagon with a side of 10 cm
5. A regular heptagon with a side of 7 inches.
6. A trapezoid where the height is 18 cm, base 1 = 16 cm and b2 = 8 cm.
7. A trapezoid where the height = 7 mm, base 1 = 26 mm and base 2 = 9 mm.
For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.
8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2
9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
11. If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
12. What is the area of a parallelogram with height 26 cm, base 16 cm, and side length 28 cm?
13. What is the area of this polygon? Show all of your calculations.
ls_XF = 53 mm ls_XV = 72 mm ls_VR = 16 mm
ls_FB = 31 mm ls_BT = 31 mm ls_EU = 47 mm
ls_UL = 31 mm ls_TL = 88 mm ls_DE = 16 mm
ls_RM = 70 mm ls_MC = 21 mm ls_DC = 70 mm
14. What is the area of this rectangle? Show all of your work.
15. What is the area of this polygon? Show all of your work.
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