Area Conversion Word Problems - last page
Number of problems found: 734
- 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 - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - 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 - 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. - Rectangles
Calculate how many rectangles of size 1 × 4 cm can be cut from a sheet of paper measuring 60 cm × 13 cm. - Circle arc
A circular sector has an arc length of 7.16 m and an area of 146.69 m². Calculate the radius of the circle and the size of the central angle. - Area of trapezoid
The parallel sides of a trapezoid are 9 dm and 7 dm. Its height is 3 cm. Calculate the area of the trapezoid. - Aquarium
An aquarium is a rectangular cuboid with a square base. It contains 62 litres of water and the base edge is 34 cm long. To what height does the water level rise? - Jewel
A rhombus-shaped jewel has an area of 23 mm² and a side length of 5.9 mm. Calculate the size of the acute angle of the rhombus. - Triangle SAS
Calculate the area and perimeter of a triangle if two sides are 46 m and 33 m long and the angle between them is 170°. - Triangle SAA
A triangle has one side of length 23 m and two interior angles of 60°. Calculate its perimeter and area. - Cu thief
A thief stole 25 metres of copper wire with a cross-sectional area of $s mm². Calculate how much money the thief receives by selling it as scrap if copper fetches 5.1 EUR/kg. The density of copper is 8.96 t/m³. - Reconstruction of the corridor
Calculate how many minutes the travel time will be reduced on a 213 km long railway corridor if the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes the travel time will be shortened if the train must stop at 6 stations, decel
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