Area - math word problems - page 159 of 161

Number of problems found: 3206

ABS CN
Calculate the absolute value of the complex number -6+19i.
Forest nursery
In a forest nursery, one borovice is planted per 2 m². Calculate how many plants are planted on an area of 510 hectares.
Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c
Right triangle
The legs of a right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
Concrete pipe
A concrete pipe is cylindrical with an inner diameter of 60 cm and an outer diameter of 67 cm. If it is 10 m long, calculate its total surface area.
Magnification of the square
If the side of a square is increased, the area increases by 57%. By what percentage was the side increased?
Circle and angle
What is the arc length of a circle with radius r = 432 dm corresponding to a central angle of 0.53 rad?
Widescreen monitor
Widescreen monitors and televisions have flooded the market. Calculate the screen area of an LCD monitor with a diagonal of 27 inches at a 4:3 aspect ratio and then at a 16:9 aspect ratio. Is buying a widescreen monitor with the same diagonal more advanta
Roller
The lateral surface area of a cylinder equals the area of one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
Father and son
A father and son are 74 years old together. The son is 30 years younger than the father. How old is the son?
Cylinder - basics
A cylinder has a base radius r = 24 cm and height h = 62 cm. Calculate: a) The area of the base
Cylinder - A&V
A cylinder has a volume of 463. Its base has a radius of 4. What is the total surface area of the cylinder?
Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S₁=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m.
Glass mosaic
How many dm² of glass is needed to produce 97 panes in the shape of a regular hexagon with a side length of 21 cm? Assume that 10% of the glass is wasted in cutting.
Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in the ratio 2:16 and whose perimeter is 1289.
Trapezium zoom
By how many times does the area of a trapezoid increase if all its sides and height are multiplied by 5?
Rectangles
Calculate how many rectangles of size 1 × 4 cm can be cut from a sheet of paper measuring 60 cm × 13 cm.
Rectangle A2dim
Calculate the missing side of a rectangle whose area is 950 m² and one side is 38 m long.
Window
Peter knocked a 100 × 67 cm opening in the wall for a window frame. When the glazier installs the frame and glass, the glass will be 13.5 cm from the edge of the opening on each side. By what percentage less light enters through the glass than through the

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