Free Printable Unit 12 Assignment 12-4

1.

Find the area of the regular polygon.

a)

$4\sqrt{2}\ cm^2$

b)

$8\sqrt{2}\ cm^2$

c)

$128\ cm^2$

d)

$64\ cm^2$

2.

Find the area of the following polygon.

a)

$12\sqrt{2}\ in^2$

b)

$12\sqrt{3}\ in^2$

c)

$24\sqrt{3}\ in^2$

d)

$4\sqrt{3}in^2$

3.

Find the area of the following polygon.

a)

$108\sqrt{3}\ ft^2$

b)

$972\sqrt{3}\ ft^2$

c)

$486\ ft^2$

d)

$486\sqrt{3}\ ft^2$

4.

Find the area of the following regular polygon.

a)

$75\sqrt{3}\ m^2$

b)

$150\sqrt{3}\ m^2$

c)

$30\sqrt{3}\ m^2$

d)

$50\sqrt{3}\ m^2$

5.

What is the radius of the following regular triangle?

a)

$5\ m$

b)

$5\sqrt{3}\ m$

c)

$10\ m$

d)

$10\sqrt{3}\ m$

6.

Find the area of the regular polygon.

a)

$96\ m^2$

b)

$384\sqrt{3}\ m^2$

c)

$768\sqrt{3}\ m^2$

d)

$576\ m^2$

7.

Find the area of the regular polygon.

a)

$30\sqrt{3}\ ft^2$

b)

$150\sqrt{3}\ ft^2$

c)

$75\sqrt{3}\ ft^2$

d)

$50\sqrt{3}\ ft^2$

8.

What is the apothem in the following regular triangle?

a)

$5\sqrt{3}\ ft$

b)

$10\sqrt{3}\ ft$

c)

$5\ ft$

d)

$10\ ft$

9.

REVIEW PROBLEM. What is the length of the hypotenuse?

a)

5 in

b)

$5\sqrt{3}\ in$

c)

10 in

d)

$10\sqrt{3}\ in$

10.

REVIEW PROBLEM. What is the area of this triangle? (Round to the nearest whole number)

a)

$22\ in^2$

b)

$38\ in^2$

c)

$43\ in^2$

d)

$75\ in^2$

11.

REVIEW PROBLEM: Use the following picture to find the measure of the height (h).

a)

7.5 ft

b)

$15\sqrt{2}ft$

c)

$15\sqrt{3}\ ft$

d)

30 ft

12.

Find the area of the following regular polygon.

a)

$48\sqrt{3}\ u^2$

b)

$24\sqrt{3}\ u^2$

c)

$8\sqrt{3}\ u^2$

d)

$96\sqrt{3}\ u^2$

13.

What is the area of the following regular triangle?

a)

$6\sqrt{3}\ u^2$

b)

$3\sqrt{3}\ u^2$

c)

$12\sqrt{3}\ u^2$

d)

$\sqrt{3}\ u^2$

14.

What is the length of the apothem for the following regular triangle?

a)

$3\ units$

b)

$6\sqrt{3}\ units$

c)

$1\ unit$

d)

$2\ units$

15.

Find the area of the following regular quadrilateral.

a)

100 u²

b)

200 u²

c)

400 u²

d)

50 u²

16.

Find the area of the following regular hexagon.

a)

$48\ u^2$

b)

$192\sqrt{3}\ u^2$

c)

$48\sqrt{3}\ u^2$

d)

$96\sqrt{3}\ u^2$

Unit 12 Assignment 12-4

Total questions: 16

Worksheet time: 1hrs 20mins

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