Area + ratio - math problems

Number of problems found: 132

  • The ratio
    The ratio of the lengths of the two circles is 5: 2. Find the ratio of a a) the radii of these circles b) the areas for these circles
  • What is
    What is the circumference of an isosceles trapezoid with a content of 106.75 cm 2 , the lengths of the sides are in the ratio 1: 3: 2: 1 and the bases are 6.1 cm apart?
  • A rectangle 8
    A rectangle measuring 6 cm and 4 cm is enlarged by the ratio 3:1. What is the area of the enlarged rectangle?
  • Markus painter
    Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint is needed to cover 12 ¼ square meters of wall?
  • Center of gravity and median
    In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?
  • Calculate
    Calculate the area of triangle ABC, if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
  • The diamond
    The diamond has an area S = 120 cm2, 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.
  • A rectangle 4
    A rectangle has area 300 and perimeter 80. what is the ratio of the length and width?
  • Megapizza
    Megapizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion?
  • Ratio in trapezium
    The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid
  • Ratio of triangles areas
    In an equilateral triangle ABC, the point T is its centre of gravity, the point R is the image of the point T in axial symmetry, along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the area
  • Cuboid - ratio
    Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm2.
  • An architect
    An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the
  • Cuboid edges
    The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m2.
  • Railway embankment
    The railway embankment section is an isosceles trapezoid, the sizes of the bases of which are in the ratio 5: 3. The arms have a length of 5 m, and the height of the embankment is 4.8 m. Calculates the size of the embankment section area.
  • Sphere in cone
    A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the surface of the ball and the contents of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isoscele
  • Ratio of squares
    A circle is given in which a square is inscribed. The smaller square is inscribed in a circular arc formed by the side of the square and the arc of the circle. What is the ratio of the areas of the large and small squares?
  • Twice of radius
    How many times does the surface of a sphere decrease if we reduce its radius twice?
  • Cuboid edges
    Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2: 3: 4 and the longest edge measures 10cm.
  • The circumference
    The circumference and width of the rectangle are in a ratio of 5: 1. its area is 216cm2. What is its length?

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