Pythagoras

GEOMETRY PACKET #6

ON

AREAS AND PERIMETERS
RECTANGLES: A = b ( h

Graph the following rectangles, and find their area and perimeter.
All measures are given in centimeters.

Class example A: b = 7, h = 5
Class example B: b = 4, h = 9

1) b = 8, h = 4
2) b = 3, h = 9
3) b = 9, h = 2
4) b = 4, h = 7
5) b = 5, h = 5
6) b = 7, h = 3

7) A rectangle has base = 4 cm and an area =36 cm2. Find its perimeter.
8) A rectangle has height = 3 cm and perimeter = 16 cm. Find its area.
9) A rectangle has base = 6 cm and an area = 84 cm2. Find its perimeter.
10) A rectangle has base = 5 cm and perimeter = 34 cm. Find its area.

ANSWERS TO AREA AND PERIMETER OF RECTANGLES

Answers without correct units are wrong.
1) A = 32 cm2, P = 24 cm
2) A = 27 cm2, P = 24 cm
3) A = 28cm2, P = 22 cm
4) A = 28 cm2, P = 22 cm
5) A = 25 cm2, P = 20 cm
6) A = 21 cm2, P = 20 cm
7) 26 cm
8) 15 cm2
9) 40 cm
10) 60 cm2

PARALLELOGRAMS: A = b ( h

Graph the following parallelograms, and find their area and perimeter.
Sides are given in centimeters, angles in degrees.

Class example A: AB = 6, A = 40, AD = 3
Class example B: AB = 7, A = 65, AD = 5
Class example C: AB = 2,A = 130, AD = 5

1) AB = 8, A = 35, AD = 4
2) AB = 4, A = 25, AD = 9
3) AB = 9, A = 150, AD = 3
4) AB = 3, A = 110, AD = 10
5) AB = 7, A = 70, AD = 5
6) AB = 2, A = 115, AD = 8
7) AB = 8, A = 125, AD = 6
8) AB = 3, A = 45, AD = 7

ANSWERS TO AREA AND PERIMETER OF PARALLELOGRAMS

1) A = 18.35 cm2, P = 24 cm
2) A = 15.21 cm2, P = 26 cm
3) A = 13.5 cm2, P = 24 cm
4) A = 28.20 cm2, P =26 cm
5) A = 32.89 cm2, P = 24 cm
6) A = 14.48 cm2, P = 20 cm
7) A = 39.32 cm2, P = 28 cm
8) A = 14.85 cm2, P = 20 cm

CIRCLES: P = 2(r, A = (r2

Graph the following circles, and find their area and perimeter.
Include all sides for the perimeter.

Class example A: full circle, r = 4
Class example B: half circle, r = 3
Class example C: quarter circle, r = 6

1) full circle, r = 32) full circle, r = 6
3) full circle, r = 2
4) half circle, r = 5
5) half circle, r = 3
6) half circle, r = 7
7) quarter circle, r = 4
8) quarter circle, r = 5
9) quarter circle, r = 3

ANSWERS TO AREA AND PERIMETER OF CIRCLES

Answers without correct units are wrong.
1) A = 28.27 cm2, P = 18.85 cm
2) A = 113.10 cm2, P = 37.70 cm
3) A = 12.57 cm2, P = 12.57 cm
4) A = 39.27 cm2, P =25.71 cm
5) A = 14.14 cm2, P = 15.42 cm
6) A = 76.97 cm2, P = 35.99 cm
7) A = 12.57 cm2, P = 14.28 cm
8) A = 19.63 cm2, P = 17.85 cm
9) A = 7.07 cm2, P = 10.71 cm

RIGHT TRIANGLES: A = (1/2) b ( h

hypotenuse2 = leg2 + leg2 [pic]

Graph the following triangles, and find their area and perimeter.
Angles are given in degrees, sides in centimeters.

Class example A: a = 4, b =5
Class example B: A = 50, b = 7
Class example C: a = 8, B = 25

1) A = 25, c = 9
2) b = 7, a = 6
3) b = 5, A = 20
4) b = 6, c = 9
5) A = 60, a = 7
6) B = 60, c = 11
7) B = 45, a = 4
8) A = 35, c = 8
9) a = 3, c = 10

ANSWERS TO AREA AND PERIMETER OF RIGHT TRIANGLES

Answers without correct units are wrong.
1) A = 15.50 cm2, P = 20.96 cm
2) A = 21 cm2, P = 22.22 cm
3) A = 4.55cm2, P = 12.14 cm
4) A = 20.12 cm2, P = 21.71 cm
5) A = 14.14 cm2, P = 19.12 cm
6) A = 26.21 cm2, P = 26.03 cm
7) A = 8 cm2, P = 13.66 cm
8) A = 15.03 cm2, P = 19.14 cm
9) A = 14.31 cm2, P = 22.54 cm

OBLIQUE TRIANGLES: A = (1/2) b ( h

Law of sines: [pic]

Law of cosines for sides: [pic]

Law of cosines for angles: [pic]

Graph the following triangles, and find their areaand perimeter.
Angles are given in degrees, sides in centimeters.

Class example A: c = 5, A = 130, b = 4 (do perimeter first)
Class example B: A = 40, b = 6, C = 30
Class example C: a = 8, b = 6, c = 7

1) a = 6, b = 5, c = 8
2) A = 45, C = 35, b = 9
3) A = 40, b = 7, c = 6
4) a = 9, b = 6, c = 7
5) A = 60, B = 50, b = 6
6) C = 50, a = 8, b = 6
7) A = 25, b = 7, C = 100
8) b = 6, c...