Math Is Fun Forum

Calculate the area for each of the polygons below. If you do not know an equation to use, divide the polygon into other shapes to determine the area.

1. An equilateral triangle with a side of 1 inch

A0.43 sq in
B0.56 sq in
C0.89 sq in
D0.23 sq in
E 0.19 sq in
F 0.54 sq in

2. A square with a side of 2 feet

A9 sq ft
B4 sq ft
C2 sq ft
D7 sq ft
E 3 sq ft
F 8 sq ft

3. A regular pentagon with a side of 3 centimeters

A23.01 sq cm
B12.34 sq cm
C39.17 sq cm
D9.46 sq cm
E 34.21 sq cm
F 15.48 sq cm

4. A regular hexagon with a side of 10 cm

A641.25 sq cm
B194.45 sq cm
C361.25 sq cm
D259.81 sq cm
E 105.22 sq cm
F 453.01 sq cm

5. A regular heptagon with a side of 7 inches.

A178.06 sq in
B294.16 sq in
C169.21 sq in
D358.91 sq in
E 157.36 sq in
F 277.91 sq in

6. A trapezoid where the height is 18 cm, base 1 = 16 cm and b2 = 8 cm.

A178.06 sq cm
B122.5 sq cm
C216 sq cm
D230 sq cm
E 280.9 sq cm
F 510 sq cm

7. A trapezoid where the height = 7 mm, base 1    = 26 mm and base 2 = 9 mm.

A178.06 sq mm
B122.5 sq mm
C216 sq mm
D230 sq mm
E 28.9 mm
F 510 mm

Fill in the missing information for the following trapezoids:

8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2

A26.2 cm
B12.5 cm
C216 cm
D23 cm
E 28.9 cm
F 51 cm

9.
height = 23 mm
b1 = 23 mm
b2 = ________
area = 529 mm2

A78.06 sq mm
B22.5 sq mm
C21.6 mm
D23 mm
E 28.9 mm
F 30 mm^2

10.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2

A17.06 cm
B12.5 sq cm
C26 cm
D10 cm
E 28.9 cm
F 50 cm^2

11.
height = 28.9 m
b1 = 26.9 m
b2 = ________
area = 806.31 m^2

A17.06 sq m
B15 m
C46 m
D23 m
E 28.9 m
F 51 m

12. If the area of a parallelogram is 690.84 m^2 and the height is 20.2 m, what is the length of the base?

A78.06 m
B22.5 m
C216 m
D34.2 m
E 28.9 m
F 51 m

13. If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?

A17.06 cm
B122.5 sq cm
C216 sq cm
D23 cm
E 21 cm
F 51 cm^2

14. If the height of a rectangle is 26.1 m and the base is 17.3 m, what is the area of the rectangle?

A451.53 m^2
B122.5 m^2
C216 m^2
D430 m^2
E 289 m^2
F 510 m^2

15. If the height of a parallelogram is 34 cm and the base is 15 cm, what is the area of the parallelogram?

A178.06 cm^2
B122.5 cm^2
C216 cm^2
D230 cm^2
E 289 cm^2
F 510 cm^2

16. What is the area of a parallelogram with height 26 cm, base 16 cm, and side length 28 cm?

A178.06 sq cm
B122.5 sq cm
C216 sq cm
D416 cm^2
E 28.9 cm
F 510 cm^2

17. What is the area of a regular octagon with a side of 6 cm?

A178.06 sq cm
B122.5 sq cm
C216 sq cm
D23 cm^2
E 173.82 cm^2
F 510 cm^2

18. What is the area of this polygon?

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

A8014 mm2
B7030 mm2
C6027 mm2
D5478 mm2
E 1782 mm2
F 1225 mm2

19. What is the area of this rectangle?

A17.06 sq units
B60 sq units
C21.6 sq units
D53 sq units
E 28.9 sq units
F 51 sq units

20. What is the area of this polygon?

A178 sq units
B129 sq units
C230 sq units
D240 sq units
E 219 sq units
F 206 sq units