TOPIC 4-1: AREA & PERIMETER OF RECTANGLES



TOPIC 2-1: AREA & PERIMETER OF RECTANGLES

|TERM |DEFINITION |SKETCH |

| | | |

|Area |The number of square units in the interior of a figure | |

| | | |

|Perimeter |The distance around a figure | |

To find the area and perimeter of a rectangle, use the following formulas:

| |AREA OF A |PERIMETER OF A RECTANGLE |

| |RECTANGLE | |

| |Area = length x width |Perimeter = 2(length) + 2(width) |

| |or |or |

| |A = lw |P = 2l + 2w |

Review of 30-60-90 and 45-45-90 Triangles:

Find the missing sides of the following triangles.

1. 2.

EXAMPLES Find the missing values for each figure.

3.

4.

| |AREA OF A SQUARE |PERIMTER OF A SQUARE |

| |Area = (side length)² |Perimeter = 4(side length) |

| |or |or |

| |A = s² |P = 4s |

EXAMPLES Find the indicated measures.

5.

6.

7. A square with a diagonal of 6.

EXAMPLES Find the indicated measures.

8. The length of a rectangle is 4 more than twice the width. The

perimeter is 62.

9.

10.

NAME___________________________DATE________________PER._______

AREA & PERIMETER OF RECTANGLES

Find the perimeter and area of each rectangle.

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|P = _______________ | |

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|A = _______________ | |

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|P = _______________ | |

| | |

|A = _______________ | |

| | |

| | |

| | |

|P = _______________ | |

| | |

|A = _______________ | |

| | |

|P = _______________ | |

| | |

|A = _______________ | |

| | |

|P = _______________ | |

| | |

|A = _______________ | |

| | |

Find the indicated measures.

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|6. A = _______________ |The perimeter of a square is 28 cm. What is the area? |

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|7. P = _______________ |The area of a square is 64 cm2. What is the perimeter? |

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|8. A = _______________ |Find the area of a square with a diagonal of 4 cm. |

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|9. A = _______________ |The length of a rectangle is 12 cm more than its width. Find the area of the rectangle if its perimeter |

| |is 100 cm. |

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| | |

Find the perimeter and area of each of the figures below.

TCAP PRACTICE

Find the correct answer for each of the following. Clearly circle/bubble in your answers as necessary. Work must be shown in order to receive credit.

11. The base of a rectangle is 6 cm longer than its height. The area of a rectangle is 91 cm2. What is the perimeter of the rectangle?

A. 13 cm

B. 20 cm

C. 38.2 cm

D. 40 cm

12. The Parkers are putting new carpet in their family room. The room is 21 feet by 27 feet. If carpet costs $11.25 per square yard, how much will the Parkers pay for the carpet?

A. $708.75

B. $740.25

C. $2,126.25

D. $6,378.75

13. What is the total area of the 5-foot walkway surrounding the swimming pool?

A. 250 ft2

B. 350 ft2

C. 480 ft2

D. 530 ft2

14. The floor plan for the Maxiell’s House is shown below.

They are putting new carpet in the living room and family room. How many square feet of carpet will they need?

A. 610 ft2

B. 574 ft2

C. 437 ft2

D. 378 ft2

15. Refer to the floor plan in Exercise 15. The Maxiell’s have a rectangular area rug on the hardwood floors in the dining room. The rug is 6.5 feet by 11.5 feet. How much of the hardwood floors are not covered by the rug?

Record your answer and fill in the bubbles on the grid below. Be sure to use the correct place value.

-----------------------

A

DE = ____________

EF = ____________

D

AB = ____________

BC = ____________

6[pic]

10

45°

F

E

C

60°

B

5

4

Length = __________

Width = __________

Area = __________

Perimeter = ___________

4

30(

Length = __________

Width = __________

Area = __________

Perimeter = ___________

(x – 2 )

Length = __________

Width = __________

Area = __________

Perimeter = ___________

4[pic]

Length = __________

Width = __________

Area = __________

Perimeter = __________

Length = __________

Width = __________

Area = __________

Perimeter = ___________

Length = __________

Width = __________

Area = __________

10

6

Length = __________

Width = __________

Area = __________

Perimeter = __________

4

4

5

5

6

6

6

Area = __________

Perimeter = __________

A#2-1

7 in

3.2 in

8 yd

8 yd

18

30(

17

8

45(

8

A#2-1 PG. 2

POOL

7 ft

11 ft

18 ft

10 ft

20 ft

5 ft

5 ft

A#2-1 PG. 3

15 ft

14 ft

13 ft

10 ft

6 ft

8 ft

6 ft

23 ft

14 ft

18 ft

Family Room

Living Room

Dining Room

Kitchen

Bath-

room

Laundry

Room

Hallway

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