Answer :
The perimeter of a rectangle is - 2 x (length + breadth).
Also, 1 feet = 12 inches.
So, the dimensions of the tablecloth are 108 inches long by 72 inches wide. So, the total perimeter of the table cloth is --> 2 x (108 + 72) = 360 inches.
So, time taken for 1 tablecloth = 360 x 3 = 1080 minutes.
And, Time taken for 2 tablecloths = 1080 x 2 = 2160 minutes.
So, to complete her sewing project, Frances will take a total of 2160 minutes (36 hours).
Also, 1 feet = 12 inches.
So, the dimensions of the tablecloth are 108 inches long by 72 inches wide. So, the total perimeter of the table cloth is --> 2 x (108 + 72) = 360 inches.
So, time taken for 1 tablecloth = 360 x 3 = 1080 minutes.
And, Time taken for 2 tablecloths = 1080 x 2 = 2160 minutes.
So, to complete her sewing project, Frances will take a total of 2160 minutes (36 hours).
2,160 minutes
Further explanation
Given:
- Frances is sewing a border around 2 rectangular tablecloths that each measure 9 feet long by 6 feet wide.
- It takes her 3 minutes to sew on 1 inch of the border.
Question:
- How many minutes will it take her to complete her sewing project?
- Write an expression, and then solve it.
The Process:
The following are the steps to form the expression.
- Perimeter of a rectangle: [tex]\boxed{2 \times (9 + 6)}[/tex]
- The total perimeter of the two rectangles: [tex]\boxed{2 \times 2 \times (9 + 6)}[/tex]
- Converting feet to inches: [tex]\boxed{2 \times 2 \times (9 + 6) \times 12}[/tex]
- She takes 3 minutes to sew on 1 inch of the border of a tablecloth, therefore we can write an expression as follows: [tex]\boxed{\boxed{ \ 2 \times (2 \times (9 + 6 )) \times 12 \times 3 \ }} \ in \ minutes[/tex]
Let us solve the expression.
[tex]\boxed{\ 2 \times (2 \times (9 + 6 )) \times 12 \times 3 \ } \ in \ minutes[/tex]
[tex]\boxed{\ = 2 \times (2 \times 15) \times 12 \times 3 \ } \ in \ minutes[/tex]
[tex]\boxed{\ = 2 \times 30 \times 12 \times 3 \ } \ in \ minutes[/tex]
[tex]\boxed{\ = 720 \times 3 \ } \ in \ minutes[/tex]
Thus she takes 2,160 minutes to complete her sewing project.
- - - - - - - - - -
The following are the complete steps.
Step-1: calculating the total perimeter of the border around 2 rectangular tablecloths
Recall the perimeter of a rectangle.
[tex]\boxed{ \ Perimeter = 2 \times (length + width) \ }[/tex]
[tex]\boxed{ \ Perimeter = 2 \times (9 + 6) \ }[/tex]
[tex]\boxed{ \ Perimeter = 2 \times 15 \ }[/tex]
[tex]\boxed{ \ Perimeter = 2 \times 15 \ }[/tex]
Hence the perimeter of a rectangular tablecloth is 30 feet.
So, the total perimeter of the border around 2 rectangular tablecloths is [tex]\boxed{30 \ feet \times 2 = 60 \ feet}[/tex]
Step-2: converting feet to inches
Recall that [tex]\boxed{1 \ feet = 12 \ inches \ }[/tex]
Let us convert 60 feet to inches.
[tex]\boxed{\ = \frac{12 \ inches}{1 \ feet} \times 60 \feet \ }[/tex]
[tex]\boxed{\ = 720 \ inches \ }[/tex]
Step-3: calculating minutes will it take her to complete her sewing project
She takes 3 minutes to sew on 1 inch of the border of a tablecloth. There are 2 rectangular tablecloths.
[tex]\boxed{ \ = \frac{3 \ minutes}{1 \ inch} \times 720 \ inches \ }[/tex]
[tex]\boxed{ \ = 3 \times 720 \ minutes \ }[/tex]
[tex]\boxed{\boxed{ \ 2,160 \ minutes \ }}[/tex]
Thus she takes 2,160 minutes to complete her sewing project.
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Keywords: Frances is sewing, a border, around, 2 rectangular tablecloths, that each measure 9 feet long by 6 feet wide, takes, 3 minutes to sew, 1 inch of border, how many, minutes, to complete her sewing project, write an expression, to solve it
