Examples of area of plane shapes - page 21 of 125
Number of problems found: 2495
- Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond? - Paper cut
How many 9 cm² figures can we cut from 36 dm² paper? - Share of a land
It is a plot of land with an area of 10427 square meters. If I own a share of 412776/118290415 of that land, how many square meters do I own? - Mysterious area
The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm². - A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio. - Pipe cross section
The pipe has an outside diameter of 1100 mm, and the pipe wall is 100 mm thick. Calculate the cross-section of this pipe. - Trapezium 2
The trapezium has an area of 24 square cm. How many different trapeziums can be formed?
- 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. - Annulus
Two concentric circles form an annulus with a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus. - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11 - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Rectangular 82270
The plot has a rectangular shape of 10.5 m and 15.5 m. A square cabin with a side of 50 dm is built on the plot. How many square meters is the rest of the plot? - Calculate 81950
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle. - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted?
- Circumference 63814
The KLMN diamond has a circumference of 32 cm, and the intersection of its diagonals is 3 cm away from the LM side. What is the area of the diamond? - Triangle 63244
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - Perimeter of rhombus
The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the circumference of this rhombus? - Circumference 46181
Calculate the area of a circle that has a circumference of 314 cm. - Parameters: 36691
Calculate the length of the arms and the area of the isosceles trapezoid if you know the following parameters: o = 20 cm a = 10 cm, c = 4 cm h = 2 cm
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