# Examples of area of plane shapes

1. 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?
2. Diagonals
Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
3. Argicultural field
Field has a rectangular shape with a width 180 m and circumference 940 m. How many hectares acreage has field?
4. Chocolate roll
The cube of 5 cm chocolate roll weighs 30 g. How many calories will contain the same chocolate roller of a prism shape with a length of 0.5 m whose cross section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm. You know that 100 g of this
5. Trapezium bases
Find the trapezium height if a = 8 cm and c = 4 cm if its content 21 square centimeters.
6. The terrace
Around the round pool with a diameter of 5.5 meters is a wooden terrace with a width of 130 cm. What is the area of the terrace?
7. Square and rectangle
Calculate the side of a square which content area equals area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
8. Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
9. Content area and percents
Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
10. Glass
How many glass are needed to produce glass with base regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm?
11. Cube 5
The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
12. Rectangle
Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
13. Painting a hut
It is necessary to paint the exterior walls of hut whose layout is a rectangle of 6.16 m x 8.78 m wall height is 2.85 meters. Cottage has five rectangular windows; three have dimensions of 1.15 m x 1.32 m and two 0,45 m x 0.96 m. How many m2 is necessar
14. Trapezoid
trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?
15. Potatoes
When planting potatoes there are consumed 3 500 kg of seed per 1 ha. Calculate the weight of the seed needed for fitting a square area with a side length 325 meters.
16. The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field, circumference if one side of field 25 meters.
17. Vintner
How high can vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? Keg is cylindrical with a diameter of the base 1 m and a volume 9.42 hl. Start from the premise that says that fermentation will fill the keg (the number
18. Square glass
What is the area of the square window glass with the side 4 dm? Do you know how many cm2 is it?
19. Rhumbline
Find circumference and area of the rhumbline ABCD if the short side AD of which has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm.
20. Trapezium
The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.

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