Problems of the area of the shape

The 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. We can measure areas in square meters (m^2), square centimeters (cm^2), square millimeters (mm^2), square kilometers (km^2), square feet (ft^2), square yards (yd^2), square miles (mi^2), and so forth.

Number of problems found: 884

  • Goat's pen
    Savannah built a rectangular pen for her goat that was 20 yards long and 15 2/5 yards wide. What is the area of this pen?
  • 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
  • Circular segment
    What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm ^ 2?
  • Circle segment
    A quarter circle with radius 4 has the same content as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment?
  • ABS triangle
    Point S is the center of the square ABCD. The ABS triangle has a content of 9 cm2. What is the circumference of the square in cm?
  • Trapezoid
    The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
  • Squares
    From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square?
  • Rectangular lot
    What is the area of a rectangular lot measures 12 3/4 meter long and 8 5/6 wide?
  • Area of a room
    Find the area of a room 9/7 m and 2/7 m.
  • Trapezoid and diagonals
    Find the area of a trapezoid with bases a = 24 cm, c = 16 cm and diagonals u = 22 cm, v = 26 cm.
  • The length 8
    The length of a rectangular field is x + 4 and its width is x + 2. what is the area of the field? Answer in polynomials expressions.
  • 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?
  • Rectangular field
    What is the area of a rectangular field 100m by 8m?
  • Area of a triangle
    Find the area of a triangle with a base of 7 mm and a height of 10 mm?
  • 144 steps
    To get around the garden we have to take 144 steps. 8 steps less in width than in length. One step is 5 decimetres long. What are the dimensions of the garden? What is its perimeter and its area?
  • The width
    The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden?
  • Circle inscribed
    There is a triangle ABC and a circle inscribed in this triangle with radius 15. The point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
  • Semicircle
    The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds.
  • The isosceles
    The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid?

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