Practice problems of the area of a shape - page 13 of 107
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 m2 or 1 cm2 etc. Every unit of length has a corresponding unit of area. We can measure areas in square meters (m2), square centimeters (cm2), square millimeters (mm2), square kilometers (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth.The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape.
Number of problems found: 2129
- Area and perimeter of rectangle
The rectangle area is 3000 cm2, and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle. - Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base. - The playground
The playground has the shape of a square with a side of 64 m. It is fenced on three sides. What is the playground area, and how long is its fence? - Perimeter of the circle
Calculate the perimeter of the circle in dm, whose radius equals the side of the square containing 0.49 dm². - Area to perimeter
Calculate the circle circumference if its area is 254.34cm2 - Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas. - Diagonals of a rhombus
One of the diagonals of a rhombus is twice the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus. - Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square. - Folded square
ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD - Cinema 4
In the cinema are 1656 seats and in the last row are 105 seats, in each next row 3 seats less. How many are the total rows in the cinema? - Right triangle ABC
Calculate the perimeter and area of a right triangle ABC. If you know the length of the legs, 4 cm, 5.5 cm, and 6.8 cm are the hypotenuse. - Annulus
Two concentric circles form an annulus of a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus. - Circular flowerbed
We split the circular flowerbed with diameter 8 m by concentric circle to circle and annulus with the same area. Find the radius of the circle. - Area of ditch
How great will an area have a section of the trapezoidal ditch with a width of 1.6 meters above and below 0.57 meters? The depth of the ditch is 2.08 meters. - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - CD disc
A compact disc has a diameter of 11.8 cm. What is its surface area in square centimeters? - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 40 cm, and one of the diagonals is of length 10 cm. - Trapezium zoom
How many times increase the area of the trapezoid if all sides and altitude increase 5 times? - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
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