How could we find the amount of wood needed to frame a poster made from a photo?
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How could we find the amount of wood needed to frame a poster made from a photo?. In this lesson you will learn how to compute an actual perimeter from a scale drawing by using ratios and proportions. A proportion is an equation that relates two equal ratios. For example:. =.

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How could we find the amount of wood needed to frame a poster made from a photo

In poster made from a photo?this lesson you will learn how to compute an actual perimeter from a scale drawing by using ratios and proportions.


How could we find the amount of wood needed to frame a poster made from a photo

A poster made from a photo?proportion is an equation that relates two equal ratios.

For example:

=


How could we find the amount of wood needed to frame a poster made from a photo

Find the length of TQ by poster made from a photo?cross multiplying

10

W

X

Q

6

R

15

?

(6)(15)

= (10)(TQ)

90

= (10)(TQ)

T

S

Z

Y

TQ = 9


How could we find the amount of wood needed to frame a poster made from a photo

Mixing up the order of one ratio in a proportion poster made from a photo?

8

11

=

16

B

22

M

-

12

L

24

N

A

C


How could we find the amount of wood needed to frame a poster made from a photo

Ratio of perimeters poster made from a photo?

4

A

B

8

Q

R

P = 8 + 6 + 8 + 6

3

P = (2 x 8) + (2 x 6)

C

D

6

P = 4 + 3 + 4 + 3

Perimeter = 28

P = (2 x 4) + (2 x 3)

T

S

Perimeter = 14


How could we find the amount of wood needed to frame a poster made from a photo

Perimeter of LMN = ? poster made from a photo?

MN :BC

= 18 : 24= 3 : 4

= 3 : 4

M

perimeter :PERIMETER

18

L

= 16 + 24 + 30 = 70

PERIMETER

N

B

=

16

210

= 4(perimeter)

24

A

perimeter = 52.5

30

C


How could we find the amount of wood needed to frame a poster made from a photo

How large is the frame? poster made from a photo?

= 2 : 15

= 4 : 30

small : LARGE

4 in

= 2(6) + 2(4) = 20 in

perimeter

6 in

=

= 300

2P

30 in

P = 150 in


How could we find the amount of wood needed to frame a poster made from a photo

In this lesson you poster made from a photo?have learnedhow to compute an actual perimeter from a scale drawing by using ratios and proportions.


How could we find the amount of wood needed to frame a poster made from a photo

Find the base of the large triangle if the scale factor of the small perimeter to the large perimeter is 3 : 5 for these similar triangles.

6

6

15


How could we find the amount of wood needed to frame a poster made from a photo

If the scale factor of a small figure to a large figure is 3 to 7, what will be the scale factor of the large figure’s perimeter to the small figure’s perimeter? Explain.


How could we find the amount of wood needed to frame a poster made from a photo

  • Find the length of side DF. to 7, what will be the scale factor of the large figure’s perimeter to the small figure’s perimeter? Explain.

7 cm

15 cm

E

Q

? cm

P

Perimeter of PQR = 40 cm

R

D

Perimeter of DEF = 90 cm

F


How could we find the amount of wood needed to frame a poster made from a photo

1. Find the perimeter of the large rectangle. to 7, what will be the scale factor of the large figure’s perimeter to the small figure’s perimeter? Explain.

84

16

28


How could we find the amount of wood needed to frame a poster made from a photo

2 to 7, what will be the scale factor of the large figure’s perimeter to the small figure’s perimeter? Explain.. If the scale factor of the large perimeter

to the small perimeter is 9:5, find the

length of AD.

B

17

C

M

L

16

12

K

N

30

A

D