Flowerbed 2

Around the square flower bed in a park is sidewalk 2 m wide. The area of ​​this sidewalk is 243 m2. What is the area of the flowerbed?

Result

S =  805.1 m2

Solution:

S+243=S2 a2+243=(a+22)2 a2+243=a2+2a4+42 24316=8a a=(24316)/8=28.38 m  S=a2=28.382=805.1 m2S + 243 = S_2 \ \\ a^2 + 243 = (a+2\cdot 2)^2 \ \\ a^2 + 243 = a^2 + 2a\cdot 4+4^2 \ \\ 243 - 16 = 8 a \ \\ a = (243-16)/8= 28.38 \ m \ \\ \ \\ S =a^2 = 28.38^2 = 805.1 \ m^2



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





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

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Next similar math problems:

  1. Tripled square
    squares4_1 If you tripled the length of the sides of the square ABCD you increases its content by 200 cm2. How long is the side of the square ABCD?
  2. 3x square
    square_3 Side length of the square is 54 cm. How many times increases the content area of square if the length of side increase three times?
  3. Star
    cross_star Calculate the content of the shaded part of square with side 28 cm.
  4. The schoolyard
    square_rot The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m2 and has a square shape again. How many meters was each side of the yard enlarged?
  5. Cross five
    5squares2 The figure on the picture is composed of the same squares and has a content of 45cm². What's his perimeter?
  6. Square garden
    garden_4 On the plan with a scale of 1:1500 is drawn as a square garden with area 81 cm2. How many meters is long garden fence? Determine the actual acreage gardens.
  7. Tiles
    wall-tiles-img-5 How many square tiles with the content 121 cm2 has to be ordered for the paving of the square room with a side length of 2.75 meters?
  8. Content area and percents
    squares_8 Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
  9. Hotel
    hotel The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel.
  10. Annulus
    medzikruzie.JPG Two concentric circles form an annulus of width 10 cm. The radius of the smaller circle is 20 cm. Calculate the content area of annulus.
  11. Annulus
    medzikruzie Calculate the area of two circles annulus k1 (S, 3 cm) and k2 (S, 5 cm).
  12. 7 triangle
    coloured_triangle The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.
  13. Expression
    expr_2 Solve for a specified variable: P=a+4b+3c, for a
  14. Alley
    stromy_6 Alley measured a meters. At the beginning and end are planted poplar. How many we must plant poplars to get the distance between the poplars 15 meters?
  15. Simplify
    numbers3_1 Simplify the following problem and express as a decimal: 5.68-[5-(2.69+5.65-3.89) /0.5]
  16. Simplify 2
    expr Simplify expression: 5ab-7+3ba-9
  17. Holidays - on pool
    pool_4 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?