Area of shape - 6th grade (11y) - math problems

Area is the quantity that expresses the extent of a two-dimensional shape. The area can be understood as the amount of paint necessary to cover the surface with a single coat. The area of a shape can be measured by comparing the shape to squares of a fixed size 1 m^2 or 1 cm^2 etc. Every unit of length has a corresponding unit of area. Areas can be measured in square metres (m^2), square centimetres (cm^2), square millimetres (mm^2), square kilometres (km^2), square feet (ft^2), square yards (yd^2), square miles (mi^2), and so forth.

Number of problems found: 149

  • Shape
    some_airplane Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible.
  • Circle area
    circle3 Calculate the circle area with a radius of 1.2 m.
  • Land
    geodetka Land has a rectangular shape, its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
  • Perimeter to area
    circles_1 Calculate the area of a circle with the perimeter 15 meters.
  • Area of square
    big-square Calculate the content area of the square whose perimeter is 24 dm.
  • Diameter to area
    circle_eq_1 Find the area of a circle whose diameter is 26cm.
  • The playground
    playground The playground has the shape of a square with a side of 64 m. It is fenced on three sides. What is the area of the playground and how long is its fence?
  • Calculate
    circle_packing_1 Calculate the area of a circle whose radius is 5 dm.
  • Concrete pedestal
    krychle_10 The carpenters made wooden mold on a concrete pedestal in the shape of a cube with edge 2 meter long. What is the area in which the concrete touches wooden molds? (No lid or bottom)
  • Area of rectangle
    rectangle_24 How many times will increase the area of the rectangle, if we increase twice the length and at the same time we decrease the width by the half?
  • Octagon from rectangle
    8gon From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm2. How many dm2 we cuts down?
  • Perimeter of square
    stvorec_1 The square has a circumference 17cm. What is its area?
  • Maximum area of rhombus
    rhombus Calculate the interior angles at which equilateral rhombus has a maximum area.
  • Diameter
     circular_plot The diameter of a circular plot is 14 dm. Find the circumference and area.
  • Quadrant II
    quartes_circle Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
  • Circle simple
    circles_3 Circumference of a circle is 6.28. What is the area of the circle?
  • Hectares
    map_11 The rectangular land is 350m long and 200m wide. Calculate the area in hectares.
  • A rectangle
    rectangle_12 A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
  • Area of a triangle
    triangle1_2 What is the area of a triangle that has the base 4 1/4 and the height of 3 3/3?
  • Radius
    circle_axes Find the radius of the circle with area S = 200 cm².

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