Word Problems

Perimeterand

Circumference of Circles

1. If the perimeter of a square is 60 inches, how long is each side?

Perimeter is the distance around an object.

Square has 4 equal sides

Divide the Perimeter by 4

Each side measures 15 in.

P = 60 in.

60 4 15

2. If the perimeter of a square is 180 inches, how long is each side?

Perimeter is the distance around an object.

Square has 4 equal sides

Divide the Perimeter by 4

Each side measures 45 in.

P = 180 in.

180 4 45

3. A rectangular piece of board is 57.5 cm by 76.3 cm. What is the perimeter of the board?

57.5 cm

76.3 cm

2 2P l w 2( ) 2( )P 57.5 76.3

115P 152.6267.6P cm

4. A rectangular piece of bard is 62.4 cm by 57.3 cm. What is the perimeter of the board?

57.3 cm

62.4 cm

2 2P l w 2( ) 2( )P 57.3 62.4

114.6P 124.8239.4P cm

5. A wooden fence is to be built around a 22m by 48m lot. How many meters of fencing will be needed? If the wood for the fence costs $25.00 per meter, what will the wood for the fence cost?

Two things to do here!

First – find the Perimeter.

Now – multiply the Perimeter by the cost per meter.

2 2P l w 2( ) 2( )P 22 48

44P 96140P m

($25)Cost P(140)($25)Cost $3,500.00Cost

6. A wooden fence is to be built around a 46m by 70m lot. How many meters of fencing will be needed? If the wood for the fence costs $22.50 per meter, what will the wood for the fence cost?

Two things to do here!

First – find the Perimeter.

Now – multiply the Perimeter by the cost per meter.

2 2P l w 2( ) 2( )P 46 70

92P 140232P m

($22.50)Cost P(232)($22.50)Cost $5,220.00Cost

7. The minute hand on a clock is 8cm long. What distance does the tip travel in one complete rotation, to the nearest centimeter.

2C rHands are the radius2(3.14)(8)C

(6.28)(8)C 50.24 cmC

50 cmC

Don’t forget to round

8. The hour hand on a clock is 6cm long. What distance does the tip travel in one complete rotation, to the nearest centimeter.

2C rHands are the radius2(3.14)(6)C

(6.28)(6)C 37.68 cmC

38 cmC

Don’t forget to round

9. Mario is fencing the area shown below. If all measurements are given in feet, how many feet of fencing will he need?

Fencing goes around a Perimeter.

First – find the measurements of the missing sides.

11

6 3 4

5

If this is

11 – 6 = 5 Th

is side is 9

9 – 3 = 6

This isHalf of

A Circle

1 so of it 2

would be 2

C d

dC

5

2C

Now ADD up everythingOn the outside !!!

11 6 6

3 5 4

35

35 C 5

35 ft.2

10

7 2 4

7

10. Jeff is fencing the area shown below. If all measurements are given in feet, how many feet of fencing will he need?

Fencing goes around a Perimeter.

First – find the measurements of the missing sides.

If this is

10 – 7 = 3

Th

is side is 1

1

11 – 2 = 9

This isHalf of

A Circle

1 so of it 2

would be 2

C d

dC

7

2C

Now ADD up everythingOn the outside !!!

10 9 7

2 3 4

35

35 C 7

35 ft.2

11. The distance around Venus is about 38,013 km. What is the equatorial diameter of Venus?

In this case, you are not looking for the circumference, but the diameter!!

So, DIVIDE the circumference by pi.

C d

38,013 (3.14)d3.143.14

d12,106.1

12,106 kmd

12. The distance around Mars is about 21,344 km. What is the equatorial diameter of Mars?

In this case, you are not looking for the circumference, but the diameter!!

So, DIVIDE the circumference by pi.

C d

21,344 (3.14)d3.143.14

d6,797.4

6,797 kmd