# Examples of area of plane shapes - page 9

1. Triangle
Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17.
2. Roller
Roller has a diameter of 0.96 m and a width 169 cm. How many m2 of road level when he turns 42-times?
3. RT 11
Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
The quadrangular prism has a volume 648 cm3. Trapezoid which is its base has the dimensions bases: a = 10 cm, c = 5 and height v = 6 cm. What is the height of the prism?
5. Trapezoid - hard example
Base of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter.
6. Trapezoid
Area of trapezoid is 135 cm2. Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation...
7. Spherical cap
What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
8. Sawdust
How many cubic centimeters of wood sawdust is created by cut the tree trunk with a diameter of 66 cm and when the gap width is 5 mm?
9. Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC.
10. Square
If the length of the sides of the square we decrease by 25% decrease the content area of 28 cm2. Determine the side length of the original square.
11. Painter 3
Dad want to paint wall high 250 cm wide and 230 cm with wallpaper. How many meters must buy wallpaper if wallpaper width is 60 cm?
12. 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?
13. Circle sector
Circular sector with a central angle 80 ° has area 1257 cm2. Calculate its radius r.
14. Field with vegetables
Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
15. The body
The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?
16. Rhombus
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
17. SAS triangle
The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
18. Katy MO
Kate draw triangle ABC. Middle of AB have mark as X and the center of the side AC as Y. On the side BC wants to find the point Z such that the content area of a 4gon AXZY was greatest. What part of the triangle ABC can maximally occupy 4-gon AXZY?
19. Rectangle vs square
The rectangle has dimensions of 13 × 10, square 8 × 8. Which shape has more area and how much above?
20. Trapezium zoom
How many times increase area of trapezoid if all sides and altitude increase 5 times?

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