Question

Frances is sewing a border around 2 rectangular tablecloths that each measure 9 feet long by 6 feet wide.  If it takes her 3 minutes to sew on 1 inch of border, how many minutes will it take her to complete her sewing project?  Write an expression, and then solve.

Answer 1

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).

Answer 2

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.

1. Perimeter of a rectangle: $\boxed{2 \times (9 + 6)}$
2. The total perimeter of the two rectangles: $\boxed{2 \times 2 \times (9 + 6)}$
3. Converting feet to inches: $\boxed{2 \times 2 \times (9 + 6) \times 12}$
4. She takes 3 minutes to sew on 1 inch of the border of a tablecloth, therefore we can write an expression as follows: $\boxed{\boxed{ \ 2 \times (2 \times (9 + 6 )) \times 12 \times 3 \ }} \ in \ minutes$

Let us solve the expression.

$\boxed{\ 2 \times (2 \times (9 + 6 )) \times 12 \times 3 \ } \ in \ minutes$

$\boxed{\ = 2 \times (2 \times 15) \times 12 \times 3 \ } \ in \ minutes$

$\boxed{\ = 2 \times 30 \times 12 \times 3 \ } \ in \ minutes$

$\boxed{\ = 720 \times 3 \ } \ in \ minutes$

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.

$\boxed{ \ Perimeter = 2 \times (length + width) \ }$

$\boxed{ \ Perimeter = 2 \times (9 + 6) \ }$

$\boxed{ \ Perimeter = 2 \times 15 \ }$

$\boxed{ \ Perimeter = 2 \times 15 \ }$

Hence the perimeter of a rectangular tablecloth is 30 feet.

So, the total perimeter of the border around 2 rectangular tablecloths is $\boxed{30 \ feet \times 2 = 60 \ feet}$

Step-2: converting feet to inches

Recall that $\boxed{1 \ feet = 12 \ inches \ }$

Let us convert 60 feet to inches.

$\boxed{\ = \frac{12 \ inches}{1 \ feet} \times 60 \feet \ }$

$\boxed{\ = 720 \ inches \ }$

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.

$\boxed{ \ = \frac{3 \ minutes}{1 \ inch} \times 720 \ inches \ }$

$\boxed{ \ = 3 \times 720 \ minutes \ }$

$\boxed{\boxed{ \ 2,160 \ minutes \ }}$

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