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salantis [7]
3 years ago
12

A daycare has 32 ft of dividers with which to enclose a rectangular play space in a corner of a large room. The sides against th

e wall require no partition. Suppose the play space is x feet long. Express the area A of the play space as a function of x. A(x)=
Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:

A=x(32-x)

Step-by-step explanation:

for  a 32ft divider, e need to determine the length of the sides of the rectangular space. but since the length and breadth gives 32ft, we can express the side as

breadth= b,

length=x

x+b=32

b=32-x,

hence the area can be expressed as

A=l*x

A=x(32-x) unit square

the area  expressed as a function of x is giving below

A(x)=x|(32-x)

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Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

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Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

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12x = 162 - 30

12x = 130

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Per tant,

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Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

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