Examples of area of plane shapes
In the square ABCD point P is in the middle of the DC side and point Q in the middle pages AD. If the area of quadrilateral BQPC is 49 cm2, what is the area of ABCD?
- Cone and the ratio
Rotational cone has a height 23 cm and the ratio of the base surface to lateral surface is 7: 9. Calculate a surface of the base and the lateral surface.
We known heights 220, 165 and 132 of sail. It has triangular shape. What is the surface of the sail?
In the newly built park will be permanently placed a rotating sprayer irrigation of lawns. Determine the largest radius of the circle which can irrigate by sprayer P so not to spray park visitors on line AB. Distance AB = 55 m, AP = 36 m and BP = 28 m.
- Rectangle - sides 3
If in the rectangle ABCD we enlarge the side a by 5 cm and decrease the side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of the side a by 4 cm and and at the same time we increase the length of side b by 3 cm we inc
- RT 11
Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area.
The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of this triangle.
Cardboard box shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm and one diagonal 8 cm long and height of the box is 12 cm. The box will open at the top. How many cm2 of cardboard we need to cover overlap and joints that are 5% of a
Determine the area of a trapezoid with bases 71 and 42 and height is 4 shorter than the its leg.
- Inscribed rectangle
The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
Pizza with a diameter 50 cm have weight 559 g. What diameter will have a pizza weighing 855 g if it is make from the same cloth (same thickness....) and same decorated?
- ISO trapezium
Calculate area of isosceles trapezoid with base 95 long, leg 27 long and with the angle between the base and leg 70 degrees.
- CD disc
A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters?
- Rhombus diagonal
Area of rhombus is 224. One diagonal measures 33, find length of other diagonal.
- Trapezoid ABCD v2
Trapezoid ABCD has length of bases in ratio 3:10. The area of riangle ACD is 825 dm2. What is the area of trapezoid ABCD?
- 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?
The base of the prism is a rhombus with a side 30 cm and height 27 cm. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism.
- Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=9 cm.