Question

Figura F ma pole 60 cm².Oblicz pole figury podobnej do niej w skali:

a)2 b)10 c)½ d)⅕

Answer 1

a)

k = 2

P` / P = k²    ---- wzór

P` = P * k²

P` = 60 * 2² = 60 * 4 = 240cm²   ----  odpowiedx

 

b)

k = 10

P` = P * k²

P` = 60 * 10² = 60 * 100= 6 000cm²   ----  odpowiedx

 

c)

k = 1/2

P` = P * k²

P` = 60 * (1/2)² = 60 * 1/4= 15cm²   ----  odpowiedx

 

d)

k = 1/5

P` = P * k²

P` = 60 * (1/5)² = 60 * 1/25= 60/25 = 12/5 = 2,4cm²   ----  odpowiedx

Answer 2

P=60cm^2

a)

k=2

k^2=2^2=4

P'=P*k^2=60*4=240cm^2

b)

k=10

k^2=10^2=100

P'=60*100=6000cm^2

c)

k=1/2

k^2=(1/2)^2=1/4

P'=60*1/4=15cm^2

d)

k=1/5

k^2=(1/5)^2=1/25

P'=1/25*60=2,4cm^2