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Gre4nikov [31]
3 years ago
15

The width of a rectangle is 9 centimeters greater than the length. Find the dimensions of the rectangle if the perimeter is 66 c

entimeters.
Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer: Length = 12cm , width = 21cm

Step-by-step explanation:

Let the length be x , then the width is x + 9, That is

Length = x

Width = x + 9

The formula for calculating the perimeter of a rectangle is given by:

Perimeter = 2 ( Length + Width )

substituting the values , we have :

66 = 2 ( x + x + 9 )

66 = 2 ( 2x + 9 )

divide through by 2

66/2 = 2x + 9

33 = 2x + 9

subtract 9 from both sides

33 - 9 = 2x

24 = 2x

divide through by 2

therefore :

x = 12

This means that

Length = 12cm

Width = 12 + 9 = 21 cm

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3 years ago
Read 2 more answers
In a survey of 300 house wires. It was discovered
ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

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                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

8 0
3 years ago
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