Question

Uzupełnij tabelke zawierajaca dane o kwadratach.
a /12 cm/..../....../...../...../18dm
P=a2 /..../81dm2/..../400cm2/..../.....
Obw.=4xa/..../...../28 cm/..../100cm/....
Uzupełnij tabelke zawierajaca dane o prostokatach.
a / 8 cm/1,5dm/7cm/..../..../6m
b / 9cm/4dm/..../15cm/11cm/...
P=axb / ..../...../49cm2/150cm2/...../....
Obw.=2x(a+b) /..../...../....../......./44cm/30m

Answer 1

Tabele znajdują się w załącznikach. 

1 Tabela 

①
a = 12 cm 
P = a² = (12 cm)² = 144 cm² 
Obw. = 4 * a = 4 * 12 cm = 48 cm 

②
P = 81 dm² 
P = a² 
a² = 81 dm² / √ 
a = 9 dm  
Obw. = 4 * a = 4 * 9 dm = 36 dm 

③
Obw. = 28 cm 
Obw. = 4 * a 
4 * a = 28 cm / : 4 
a = 7 cm 
P = a² = (7 cm)² = 49 cm² 

④
P = 400 cm²
P = a² 
a² = 400 cm² / √ 
a = 20 cm
Obw. = 4 * a = 4 * 20 cm = 80 cm 

⑤
Obw. = 100 cm 
Obw. = 4 * a 
4 * a = 100 cm / : 4 
a = 25 cm 
P = a² = (25 cm)² = 625 cm² 

⑥
a = 18 dm 
P = a² = (18 dm)² = 324 dm² 
Obw. = 4 * a = 4 * 18 dm = 72 dm 

2 Tabela 

①
a = 8 cm 
b = 9 cm 
P = a * b = 8 cm * 9 cm = 72 cm²
Obw. = 2 * (a + b) = 2 * (8 cm + 9 cm) = 2 * 17 cm = 34 cm 

②
a = 1,5 dm 
b = 4 dm 
P = a * b = 1,5 dm * 4 dm = 6 dm² 
Obw. = 2 * (a + b) = 2 * (1,5 dm + 4 dm) = 2 * 5,5 dm = 11 dm 

③
a = 7 cm 
P = 49 cm² 
P = a * b 
7 cm * b = 49 cm² / : 7 cm 
b = 7 cm 
Obw. = 2 * (a + b) = 2 * (7 cm + 7cm) = 2 * 14 cm = 28 cm 

④
b = 15 cm 
P = 150 cm² 
P = a * b 
a * 15 cm = 150 cm² / : 15 cm
a = 10 cm 
Obw. = 2 * (a + b) = 2 * (10 cm + 15 cm) = 2 * 25 cm = 50 cm 

⑤
b = 11 cm 
Obw. = 44 cm 
Obw. = 2 * (a + b) = 2 * a + 2 * b 
2 * a + 2 * 11 cm = 44 cm 
2 * a + 22 cm = 44 cm 
2 * a = 44 cm - 22 cm 
2 * a = 22 cm / : 2 
a = 11 cm 
P = a * b = 11 cm * 11 cm = 121 cm² 

⑥
a = 6 m 
Obw. = 30 m 
Obw. = 2 * (a + b) = 2 * a + 2 * b 
2 * 6 m + 2 * b = 30 m 
12 m + 2 * b = 30 m 
2 * b = 30 m - 12 m 
2 * b = 18 m / : 2 
b = 9 m 
P = a * b = 6 m * 9 m = 54 m²