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

1. Harvester
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
2. Juice box
The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box?
3. Glass aquarium
How many m2 of glass are needed to produce aquarium with bottom dimensions of 70 cm x 40 cm and 50 cm high?
4. Hectares
The rectangular land is 350m long and 200m wide. Calculate the area in hectares.
5. Map scale
The rectangular plot has in a scale of 1: 10000 area 3 cm2 on the map. What content does this plot have on a 1:5000 scale map?
6. Annulus
Calculate the area of two circles annulus k1 (S, 3 cm) and k2 (S, 5 cm).
7. Star
Calculate the content of the shaded part of square with side 28 cm.
8. Land
Land has a rectangular shape, its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
9. Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
10. Seeds
The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed are needed for sowing if the 1 m2 will consume 25 g of seeds?
11. Tiles
How many tiles of 20 cm and 30 cm can build a square if we have a maximum 100 tiles?
12. The book
The book has 280 pages. Each side is a rectangle with sides 15 cm and 22 cm. a) how many leaves has the book? b) at least how many square meters of paper should be used to production this book?
13. Office rent
For rent 1m2 of office space is paid €165 per year. How much is the annual rent for an office as big as a football field with dimensions 71.5 m and 102.5 m?
14. Concrete pedestal
The carpenters made wooden mold on a concrete pedestal in the shape of a cube with edge 2 meter long. What is the area in which the concrete touches wooden molds? (No lid or bottom)
15. Square room
What is the size of the smallest square room, which can pave with tiles with dimensions 55 cm and 45 cm? How many such tiles is needed?
16. Circle area
Calculate the circle area with a radius of 1.2 m.
17. Square grid
Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm2 and circumference 12 cm and that their sides is in square grid.
18. The cube
The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges
19. Perimeter from area
What is the perimeter of the square if its content is 64 cm2?
20. Hexagon - MO
The picture shows the ABCD square, the EFGD square and the HIJD rectangle. Points J and G lie on the side CD and is true |DJ|

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