# Expression of a variable from the formula + area of the shape - practice problems

#### Number of problems found: 283

- The height of prism

The base of the perpendicular prism is formed by a right triangle with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm. - Peter's rectangle

Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63 - Slant height 2

A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m³. Find the lateral area of the pyramid. - The ratio 7

The ratio of the sides of two squares 4:5 if the sum of their areas is 180 cm² Find the sides of the two squares. - Circular segment

What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm ^ 2? - Circle segment

A quarter circle with radius 4 has the same content as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment? - ABS triangle

Point S is the center of the square ABCD. The ABS triangle has a content of 9 cm². What is the circumference of the square in cm? - 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. - The length 8

The length of a rectangular field is x + 4 and its width is x + 2. what is the area of the field? Answer in polynomials expressions. - What is

What is the circumference of an isosceles trapezoid with a content of 106.75 cm^{ 2 }, the lengths of the sides are in the ratio 1: 3: 2: 1 and the bases are 6.1 cm apart? - Height of the prism

The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism. - The width

The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden? - Semicircle

The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds. - The isosceles

The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid? - A trapezoid 3

A trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm². Find the height of the trapezoid. - Trapezoids

In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid. - Perimeter to area 2

Find the area of a square whose perimeter is 100 cm with solve. - The area

The area of a rhombus is 143 m². If the longer diagonal is 26 m, find the shorter diagonal in inches named d1. - Louis

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - Center of gravity and median

In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?

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Expression of a variable from the formula - practice problems. Examples of area of plane shapes.