# Square root + area of the shape - practice problems

#### Number of problems found: 58

- 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. - 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? - 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. - 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? - Squares above sides

In a right triangle, the areas of the squares above its sides are 169; 25 and 144. The length of its longer leg is: - Cuboid edges

The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m². - Extending square garden

Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m² (square), it had the shape of a square again. How many meters has the length of each side of the garden been extended? - Triangular prism

The triangular prism has a base in the shape of a right triangle, the legs of which is 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - Wallpaper

3750 cm square of wallpaper is needed to glue a cube-shaped box. Can Dad cut out the whole necessary piece of wallpaper as a whole if he has a roll of wallpaper 50 cm wide? - Uboid volume

Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - The schoolyard

The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged? - Radius

Find the radius of the circle with area S = 200 cm². - The sides 2

The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid. - A screen

A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of an centered area which is exactly 33% of the screen size? - One trapezium

One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. - Quarter of a circle

Calculate the circumference of a quarter circle if its content is S = 314 cm². - Pyramid cut

We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm². Find the area of the - Square area

Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit^{2}Square 2 2 units^{2}Square 3 4 units^{2} - Trapezoid 15

Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4 - Diagonals

Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.

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Square root - practice problems. Examples of area of plane shapes.