![]() ![]() In the regular hexagon ABCDEF the diagonal AC has the length of 12 cm. Find the length of its diagonals.įind the area of a regular hexagon, if we know the radius of its inscribed circle ρ = 4 cm. Find the size of the internal angles and the area of the triangle.įind the perimeter, the area and the size of remaining angles of a triangle ABC, when: a = 8.4, β = 105☃5' and median of side a is m a = 12.5.įind the lenght of all sides and the size of all internal angles of the triangle ABC, if we know: A = 501.9 α = 15☂8' and β = 45°.Ī parallelogram ABCD has the area of 40 cm 2, | AB| = 8.5 cm and | BC| = 5.65 cm. What is its area ?Ī triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. What is its perimeter ?Īn equilateral triangle has the perimeter of 36 dm. Calculate what percentage of the area of the triangle ABC takes the area of the triangle A'B'C'.Ī right-angled isosceles triangle has the area of 32 cm 2. A triangle A'B'C' is similar to the triangle ABC and it is 2.5 times smaller. Find the length of the sides and the area of the triangle.Ī right-angled triangle ABC has the legs a = 5 cm, b = 8 cm. ![]() The base of the triangle is by 48 m longer than the arm. Find the land area and the length of a fencing needed to fence the land.Ī perimeter of an isosceles triangle is 474 m. Find the height of the trapezoid, diagonal length and the area of the trapezoid.Ī land of a right-angled trapezoid shape has the bases lengths of 92 m and 76 m and the vertical arm is 6.3 m long. The bases are | PQ| = 120 mm, | RS| = 62 mm and the arm s = 48 mm. Find the height of the trapezoid.Ĭonsider the isosceles trapezoid PQRS. Find the area of the trapezoid.Ī trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm 2. In the isosceles trapezoid ABCD we know: AB|| CD, | CD| = c = 8 cm, height h = 7 cm, |∠ CAB| = 35°. Find the perimeter of the rhombus.įind a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find lengths of the sides of the parallelogram. The length of one of its sides is equal to one-seventh of the entire perimeter. Calculate of how many m 2 will decrease the area of a garden, if the ornamental fence with a width of 60 cm will be planted inside its perimeter.Ī perimeter of a parallelogram is 2.8 meters. Calculate the perimeter and the area of the garden.Ī rectangular garden has a length of 57 m and a width of 42 m. Line connecting the centers of the adjacent sides of the garden is 20 m long. Lengths of the sides of a rectangular garden are in the ratio 1 : 2. Math Exercises & Math Problems: Perimeter and Area of Plane Figuresįind the perimeter and the area of a square, if we know the length of its diagonal d = 4.2 m.įind the area of the rectangle ABCD, where the length of the side | AB| = a = 8.2 cm and the diagonal d = 2 a. ![]()
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