Planimetry - math word problems - page 141 of 187
Number of problems found: 3739
- Tourist group distance
A group of tourists split up at the intersection of two perpendicular paths. One group walked at a speed of 5.3 km/h. Second group 4.1 km/h. How far were the two groups from each other after 1 h 25 min? - The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The - Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - Water pressure depth
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Stadium map area
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2 cm x 3 cm. - Lake map area
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake. - Children's room
The children's room is a square with a side of 3 m. What is the area of the room layout on a 1:50 scale plan? - Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch. - A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created? - Trapezoid 45
Trapezoid with: Area: 345 1/2 sq cm First base = 15 1/3 cm height= 4 1/5 cm What size is the second base? - Foot area
Which animal exerts greater pressure on the ground: an elephant weighing 5 tonnes with a total foot area of 0.5 m², or a gazelle weighing 10 kg with a total foot area of 50 cm²? - N-gon
How many diagonals does a convex 30-gon have? - Square garden
The square garden has an area of 36 square meters. What area will its image have in the 1:60 scale? - Fluid pressure force
Calculate the pressure in the fluid: force F = 2,400 N The area on which the force S = 8 m² acts p =? - Rectangle perimeter
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter. - Medians in RT
The rectangular triangle ABC has a length of 10 cm and 24 cm. Points P, Q, and R are the centers of the sides of this triangle. The perimeter of the PQR triangle is: - Car intersection speed
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Square broken line
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar - Triangle
In triangle ABC, point S is the incentre (centre of the inscribed circle). The area of quadrilateral ABCS equals four-fifths of the area of triangle ABC. The side lengths of triangle ABC are all integers expressed in centimetres, and the perimeter of tria
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