Area of shape - 6th grade (11y) - math problems

  1. A rectangle
    rectangle_12 A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
  2. Annulus
    medzikruzie_1 The radius of the larger circle is 8cm, the radius of smaller is 5cm. Calculate the contents of the annulus.
  3. Bathroom 2
    tiles_5 A bathroom is 2.4 meters long and 1.8 meters wide. How many square tiles 1 dm on each side are to be used to cover it?
  4. 2d shape
    semicircles_rect Calculate the content of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of the segment AB is 5 cm.
  5. Circle simple
    circles_3 Circumference of a circle is 6.28. What is the area of the circle?
  6. Scale of plan
    zahrada_4 On the plan of the village in the scale of 1: 1000 a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares.
  7. Rectangle 39
    rectnagles Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)
  8. Annual rainfall
    rain_7 The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
  9. Diameter to area
    circle_eq_1 Find the area of a circle whose diameter is 26cm.
  10. Garden
    garden_18 The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden?
  11. Square glass
    sklo What is the area of the square window glass with the side 4 dm? Do you know how many cm2 is it?
  12. Potatoes
    zemiaky_1 When planting potatoes there are consumed 230 kg of seed per 1 ha. Calculate the weight of the seed needed for fitting a square area with a side length 325 meters.
  13. Rhombus sides
    rhombus-diagonals_4 find the sides of a rhombus, it area is 550 cm square and altitude is 55cm
  14. Plot
    parcela_1 The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1: 500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size.
  15. Base of house
    domcek_4 Calculate the volume of the bases of a square house, if the base depth is 1.2 m, the width is 40 cm and their outer circumference is 40.7 m.
  16. Gardens colony
    kolonie Gardens colony with dimensions of 180 m and 300 m are to be completely divided into the same large squares of the highest area. Calculate how many such squares can be obtained and determine the length of the square side.
  17. Unknown number 24
    ctverce I think the number: a - is the same as the square area that has the 12th circumfence. What is this number? b - its half is 7 times bigger than its quarter. Is this the number?
  18. Magic belt
    opasok The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had a content area 4 cm2. What was its original length if the original wid
  19. Harvester
    kombajn_1 Harvester has cutting width 4 m and harvested grain in the field, which is 87 meters wide. Harvester moves along the length of the field for six minutes, going back (without cutting) it takes half the time. Each turn at the end field take one minute. How m
  20. Carpet
    kusovy-koberec What is the price of square carpet side length 3.25 m if one meter square cost 230 CZK?

Do you have an interesting mathematical word problem that you can't solve it? Enter it, and we can try to solve it.



To this e-mail address, we will reply solution; solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...