Folding table

The folding kitchen table has a rectangular shape with an area of 168dm2 (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase?
The result round to one-hundredths.

Correct result:

p =  67.32 %

Solution:

$S=168 \ \text{dm}^2 \ \\ a=14 \ \text{dm} \ \\ \ \\ S=a \cdot \ b \ \\ \ \\ b=S/a=168/14=12 \ \text{dm} \ \\ \ \\ r=b/2=12/2=6 \ \text{dm} \ \\ \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 6^2 \doteq 113.0973 \ \text{dm}^2 \ \\ \ \\ p=100 \cdot \ \dfrac{ S_{1} }{ S }=100 \cdot \ \dfrac{ 113.0973 }{ 168 }=67.32 \%$

Try another example

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar math problems:

• Rectangular plot
  The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.
• Quatrefoil
  Calculate area of the quatrefoil which is inscribed in a square with side 6 cm.
• Desribed circle to rectangle
  Rectangle with sides 6 cm and 4 cm was circumscribed circle. What part of the content of the circle determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).
• Wiring
  Conduit has a cross section 48² mm. Maybe put it into 6 conductors with a cross section S2 $mm²?
• Diameters of circles
  How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter 120 mm and a larger one has a diameter 300 mm?
• Screens
  The area of a 25 inch TV screen is 300 inch² the area of a 40 inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen?
• Percent change
  If the length of a rectangle is increased by 25% and the width is decreased by 10%, the area of the rectangle is larger than the area of the original rectangle by what percent?
• A rectangle
  A rectangle has an area of 36 cm². What could the length and width of rectangle be?
• Candies
  In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ?
• Borrowing
  I borrow 25,000 to 6.9% p.a.. I pay 500 per month. How much will I pay and for how long?
• Researchers
  Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
• Holidays - on pool
  Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
• Profit gain
  If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
• Summerjob
  The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
• Trucks
  Three lorries droved bricks. One drove n bricks at once, second m less bricks than the first and third 300 bricks more the first lorry. The first lorry went 4 times a day the largest went 3 times a day and the smallest 5 times a day. How many bricks b
• Win in raffle
  The raffle tickets were sold 200, 5 of which were winning. What is the probability that Peter, who bought one ticket will win?
• Test points
  If you earned 80% of the possible 40 points, how many points did you miss to get 100%?