Examples of area of plane shapes - page 39 of 135
Number of problems found: 2697
- Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Embankment
The perpendicular cross-section of the embankment around the lake has the shape of an isosceles trapezoid. Calculate the perpendicular cross-section, where the bank is 4 m high, the upper width is 7 m, and the legs are 10 m long. - Triangle eq
Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and area. - Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid. - Cathethus and the inscribed circle
A right triangle is given one leg long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - ISO trapezoid v2
The bases of the isosceles trapezoid are measured 20 cm and 4 cm, and their perimeter is 55 cm. What is the area of a trapezoid? - RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one leg is 20 m long. - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in the ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD? - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 25%. What is the percentage change in the area of the hop garden? - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Described
Calculate the circumference of the circle circumscribed about a triangle with sides 82, 495, and 438. - Rectangular field
One dimension of a rectangular field is 168 m greater than the other. When each side is increased by 9 m, the area of the field becomes 2187 m². Find the dimensions of the field. - Book paper area
Approximately how many square meters of paper are needed to make a 500-page book that measures 29.7 cm by 21 cm (printed on both sides of the paper). - How many 28
How many can 15 cm x 25 cm tiles fit in a room with a length of 3 m and a width of 2.5 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. - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Area 51
The area of a triangle is 54.39, angle alpha is 32°, and angle gamma is 144°.
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