# Examples of area of plane shapes

- Rhombus

The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides. - Prism

Calculate the volume of the rhombic prism. Base of prism is rhombus whose one diagonal is 47 cm and the edge of the base is 28 cm. The edge length of the base of the prism and height is 3:5. - Similarity coefficient

The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of the larger triangle. - Right angled

From the right triangle with legs 12 cm and 20 cm we built a square with the same content as the triangle. How long will be side of the square? - Isosceles trapezoid

Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid. - Areaf of ST

It is given square DBLK with side |BL|=13. Calculate area of triangle DKU if vertex U lie on line LB. - Circle arc

Calculate the area of the circular arc in m^{2}where the diameter is 290 dm and a central angle is 135°. Result round to three decimal places. - Garden

Rectangular garden has a length 99 m and width 84 m. Calculate how many m^{2}will decrease its area if land by ornamental fence with width 30 cm. - Hexagon

There is regular hexagon ABCDEF. If area of the triangle ABC is 22, what is area of the hexagon ABCDEF? I do not know how to solve it simply.... - Isosceles III

The base of the isosceles triangle is 17 cm area 416 cm^{2}. Calculate the perimeter of this triangle. - Without Euclid laws

Right triangle ABC with right angle at the C has a=5 and hypotenuse c=19. Calculate the height h of this triangle without the use of Euclidean laws. - XY triangle

Determine area of triangle given by line 7x+8y-69=0 and coordinate axes x and y. - Sawdust

How many cubic centimeters of wood sawdust is created by cut the tree trunk with a diameter of 66 cm and when the gap width is 5 mm? - Geodesist

Triangle shaped field (triangle ABC) has side AB = 129 m. path XY is parallel to the side AB which divided triangle ABC into two parts with same area. What will be the length of the path XY? Help please geodesist ... - Chocholate

Table of chocolate is divided into squares on its surface. Lengthwise has 15 squares and widthwise 19 squares. We must chocolate broke into individual squares. How many times we have broke it to get only individual squares? It is not permitted to brea - Canopy

Mr Peter has metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m^{2}? - Diagonal

Diagonal of the rectangle has length 46.4 cm. Angle between diagonal and londer sife of rectangle is 22°. Calculate area of the rectangle. - Parallelogram - side

Calculate the length of the side of a parallelogram whose area is 175 dm^{2}and height to that side is 24.2 dm long. - Parallelogram

Calculate the area and perimeter of a parallelogram whose two sides are long a=24 cm b=22 cm and height h_{a}= 6 cm long. - Trapezium

Determine the height of the trapezium ABCD, which has area 77.5 cm^{2}and base lengths 16 cm and 15 cm.

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