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 (3)
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).
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: 2 × ( 9 + 6 )
The total perimeter of the two rectangles: 2 × 2 × ( 9 + 6 )
Converting feet to inches: 2 × 2 × ( 9 + 6 ) × 12
She takes 3 minutes to sew on 1 inch of the border of a tablecloth, therefore we can write an expression as follows: 2 × ( 2 × ( 9 + 6 )) × 12 × 3 in min u t es
Let us solve the expression.
2 × ( 2 × ( 9 + 6 )) × 12 × 3 in min u t es
= 2 × ( 2 × 15 ) × 12 × 3 in min u t es
= 2 × 30 × 12 × 3 in min u t es
= 720 × 3 in min u t es
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.
P er im e t er = 2 × ( l e n g t h + w i d t h )
P er im e t er = 2 × ( 9 + 6 )
P er im e t er = 2 × 15
P er im e t er = 2 × 15
Hence the perimeter of a rectangular tablecloth is 30 feet.
So, the total perimeter of the border around 2 rectangular tablecloths is 30 f ee t × 2 = 60 f ee t
Step-2: converting feet to inches
Recall that 1 f ee t = 12 in c h es
Let us convert 60 feet to inches.
= 1 f ee t 12 in c h es × 60 \feet
= 720 in c h es
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.
= 1 in c h 3 min u t es × 720 in c h es
= 3 × 720 min u t es
2 , 160 min u t es
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
Frances will take 2,160 minutes to sew borders around two tablecloths. This was calculated by first determining the total perimeter of the tablecloths, converting it to inches, and then multiplying by the time it takes to sew each inch. The calculations confirmed she needs a significant amount of time for this project.
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