Quadratic equation + area - math problems

Number of problems found: 101

  • Square vs rectangle
    Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square.
  • Rectangle pool
    Find dimensions of an open pool with a square bottom with a capacity of 32 m3 to have painted/bricked walls with the least amount of material.
  • Cuboid - ratios
    The sizes of the edges of the cuboid are in the ratio 2: 3: 5. The smallest wall has an area of 54 cm2. Calculate the surface area and volume of this cuboid.
  • Rectangle diagonals
    It is given a rectangle with an area of 24 cm2 a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
  • 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.
  • Diagonal of the rectangle
    Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm.
  • 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.
  • Trapezoid
    trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?
  • Hexagonal prism 2
    The regular hexagonal prism has a surface of 140 cm2 and height of 5 cm. Calculate its volume.
  • Rectangle vs square
    One side of the rectangle is 1 cm shorter than the side of the square, the second side is 3 cm longer than the side of the square. Square and rectangle have the same content. Calculate the length of the sides of a square and a rectangle.
  • Trapezium
    The length of the base and the height size of the base of the trapezium is at ratio 5:3:2, the content area of the trapezium is 128 cm2. Calculate the length of the base and the height of the trapezoid.
  • Arc-sector
    arc length = 17 cm area of sector = 55 cm2 arc angle = ? the radius of the sector = ?
  • Square
    Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm2. Determine the side length of the original square.
  • Semicircle
    To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?
  • 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...
  • Garden
    The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
  • Rectangle
    The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
  • The hall
    The hall had a rectangular ground plan one dimension 20 m longer than the other. After rebuilding the length of the hall declined by 5 m and the width has increased by 10 m. Floor area increased by 300 m2. What were the original dimensions of the hall?
  • Circular flowerbed
    Circular flowerbed with diameter 8 m we split by concentric circle to circle and annulus with the same area. Find the radius of the circle.
  • Orchard
    Route passes trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3 and the length of the longer base to the length of the path is in the ratio 5:6. How many square meters occupies the rout

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