Planimetrics + area - practice problems - page 55 of 76
Number of problems found: 1504
- ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm. - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - What is 10
What is The area of a parallelogram that has vertices with the coordinates (0, 0), (4, 0),(5, 3), and (1, 3)? - The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond.
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Cross-section 23491
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S. - Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lies on the line p C) parametric equations - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle?
- Dimensions 81100
The area of the rectangle is 81.25 cm². If we increase its length by 5 mm, its area increases by 4%. Determine its dimensions. - Gardener 75344
A gardener lays tiles around a square flower bed. It needs 12 tiles around the 2x2 bed. How many tiles will he need around the size of the bed? a) 9x9 b) nxn? How big was the bed for which the gardener consumed c) 112 d) 4n tiles? - Second-longest 7659
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Cu thief
The thief stole 142 meters copper wire with a cross-section area of $s mm². Calculate how much money gets in the scrap redemption if redeemed copper for 5.3 Eur/kg. The density of copper is 8.96 t/m³. - Follows: 4799
The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area?
- Numerically 4839
Calculate the diagonal of such a square, for which it holds that its area is equal to its perimeter (without considering units, numerically ...). - Square side
If we enlarge the square side a = 5m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square? - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the dimensions of the field, the perimeter of the field, and the area of the field. - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cmx32 cm. How many tiles will they nee
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