Square (second power, quadratic) + area of a shape - practice problems - page 60 of 61
Number of problems found: 1212
- Rectangular field
One dimension of the rectangular field is 56 m greater than the second dimension. If each side of the rectangle increases by 10 m increases, the surface field is 1480 m². Find dimensions of the field. - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume? - Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed?
- Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm. - Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm.
- Circle
How big is an area of a circle if its circumference is 51.2 cm? - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Widescreen monitor
Computer businesses were hit by a wave of widescreen monitors and televisions. Calculate the area of the LCD monitor with a diagonal size 20 inches at a ratio of 4:3 and then a 16:9 aspect ratio. Is buying widescreen monitors with the same diagonal more - Similarity n-gon
9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm², and the diagonal length GD is 32 dm. Calculate the area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm.
- Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%. - Trapezium zoom
How many times increase the area of the trapezoid if all sides and altitude increase 5 times? - Rectangles
Calculate how many squares/rectangles of size 4×3 cm we can cut from a sheet of paper of 36 cm×32 cm. - Rectangle A2dim
Calculate the side of the rectangle if you know that its area is 2590 m² and one side is 74 m. - Circle arc
The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle.
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