Find the area of the triangle.

8 ft 3 ft

12 ft

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

A rectangular flag is divided into four regions by its diagonals. Two of the

regions are shaded. Find the total area of the shaded regions.

17 in

22 in

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of the parallelogram.

60°

15 m

12 m

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

290 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

The diagonal of a square isFind the area of the square.

7 2.

MATAMOSCAS

49 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of the rhombus.

26 cm

10 cm

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

The length of a table top is 5 ft greater than the width. Find the

length and width if the area is 84 ft2.

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the value of x.

15

3

x

2

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of the trapezoid.Leave answer in simplest radical form.

45°

6

10

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of the kite.

3 2 3 2

5

8

MATAMOSCAS

72 m2 32 5.6

12 187 in2 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

39 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

The area of a trapezoid is 100 ft2.The sum of the two bases is 25 ft. What is the height of the trapezoid?

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the length of x.

48°

x

5

MATAMOSCAS

3.585 3

2 5.664 6

4 6.767

x 8 10

-2 0.5403 x

2.4 -10,005 9 5

5 4

logax z

y

log 2log 3logb b bx y z

1log 54 a

7 7log 14 log 3

2 15

25

210 0.01

16

1log 2

4

8

1log 2

3

1 2( ) 1f x x 19

25

Find the area of the regular polygon.

11.6 cm

8 cm

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of the equilateral triangle.

10 in

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of a regular pentagon with a radius of 12 m

12 m

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of the square.

8 in

MATAMOSCAS

3.585 3

2 5.664 6

4 6.767

x 8 10

-2 0.5403 x

2.4 -10,005 9 5

5 4

logax z

y

log 2log 3logb b bx y z

1log 54 a

7 7log 14 log 3

2 15

25

210 0.01

16

1log 2

4

8

1log 2

3

1 2( ) 1f x x 19

25

Find the value of x.

12°20°x

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the area of a regular hexagon with an apothem of 6 in. Round to

the nearest tenth.

6 in

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Two sides of a triangular building plot are 412 ft and 386 ft long. They

include an angle of 71°. Find the area of the building plot to the nearest

square foot.

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the circumference.

20 cm

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the length of the minor arc.

14 cm

45°

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

A 15 ft ladder is propped against a vertical wall and makes a 72° with the

ground. How far is the foot of the ladder from the base of the wall?

Round to the nearest tenth.

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the value of x.

45

x

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

The ratio of the sides of a triangle is 3:5. If the area of the triangle is 120, find the dimensions of the

triangle.

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Find the value of x.

15 in

9 inx

x

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Solve using the quadratic formula.

24 13 3 0x x

MATAMOSCAS

72 m2 5.6

12 187 in2 39 12 x 20

44 480 cm2 232 cm2

12 ft x 7 ft 48 ft2 10

8 in 124.7 in2 6

28 4.6 ft 8 ft 128 in2

7

2cm

1,34

32 2

272 3 m

20 cm

2342 m

{4, 3}

225 3 ft

275,183.9 ft

Solve the proportion.

3 2

3 2

x

x