Planimetry - math word problems - page 134 of 187
Number of problems found: 3739
- Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs? - Shape
A plane figure has a maximum area of 677 mm². Calculate its perimeter if the perimeter is to be as small as possible. - Velocipedes
In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) had a front-wheel diameter of up to 1.5 meters, while the rear wheel w - Hexagon angle size
Determine the size of the ACF angle in the regular ABCDEF hexagon. - Triangle angle ratio
The sizes of the interior angles of the triangle are in a successive ratio of 6:4:5 are these angles big? - Triangle dimensions
The perimeter of the triangle is 48 m. Calculate its dimensions if they are in the ratio 5:3:4 - The swimmer
The swimmer swims at a constant speed of 0.85 m/s relative to water flow. The current speed in the river is 0.40 m/s, and the river width is 90 m. a) What is the resulting speed of the swimmer for the tree on the riverbank when the swimmer's motion is per - Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Radians
Convert 90° to radians. Write the result as a multiple of π. - The big clock
The hands of a clock stop at a random moment. What is the probability that: a) the hour hand shows a time between 1:00 and 3:00? b) the minute hand is in the same region as the hour hand as described in part a)? c) the clock shows a time between 21:00 and - Rectangle area dimensions
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Cooperatives - table
There are 3 agricultural cooperatives and one private farmer in the district. The table shows the wheat yields per hectare in t/ha and their areas in hectares for 4 entities. What was the average wheat yield in the district? Entity; Yield [t/ha]; Area [ha - Cross section
The cross-section ABCD of a swimming pool is a trapezium. Its width is AB=14 meters, the depth at the shallow end is 1.5 meters, and at the deep end is 8 meters. Find the area of the cross-section. - The angles 3
The angles in a triangle are in the ratio of 3:4:5. Work out the size of each angle. - Quadrilateral and angles
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Garden sidewalk diagonal
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden.
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