Square (second power, quadratic) - math word problems - page 149 of 151

Number of problems found: 3005

Widescreen monitor
A wave of widescreen monitors and televisions hit computer businesses. Calculate the area of the LCD monitor with a diagonal size 27 inches at a ratio of 4:3 and then a 16:9 aspect ratio. Is buying widescreen monitors with the same diagonal more advanta
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 glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length of 21 cm? Assume that cutting glass waste is 10%.
Trapezium zoom
How many times should the area of the trapezoid be increased if all sides and altitudes increase 5 times?
Rectangles
Calculate how many squares/rectangles of size 1×4 cm we can cut from a sheet of paper of 60 cm×13 cm.
Rectangle A2dim
Calculate the side of the rectangle if you know that its area is 950 m² and one side is 38 m.
Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center.
Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 18 dm above water, and the width of the surfaced barrel part is 34 dm. The barrel length is 12 dm. Calculate the volume of the barrel.
Circle arc
The circle segment has a circumference of 9.08 km and 58.99 km² area. Calculate the radius of the circle and the size of the central angle.
Geometric progression
Fill 3 numbers between 5 and 405 to form a geometric progression.
3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
Inflation
Once upon a time, the tsar owned a money printer and printed and printed. Printing money prices went up in the first year 2.7 %, in the second 2.1%, in the third 3.6%, and in the fourth 5.4%. Then tsar failed in the election. Calculate the average annual
Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle h_AB to the side AB.
Garden
Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden?
Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him?
Aquarium
An aquarium is a rectangular box with a square base containing 62 liters of water. The length of the base edge is 34 cm. To what height does the water level rise?
Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible.
Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
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.

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