Planimetrics - math word problems - page 94 of 170
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3395
- Rectangular 44951
The surface area of the rectangular plot needs to be increased by 33.7 percent. One dimension was extended by 2.9 percent. By what percentage should the second dimension be increased? Round the result to two decimal places. - Circumference 8251
Calculate the scale of the cadastral map, on which the square plot has a circumference of 20 cm and, in fact, 576m. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Annulus
Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n.
- Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m. - Olda wanted
Oldrich wanted to enlarge the 9 cm x 13 cm photo so that the shorter side measured 18 cm. How big will the longer side of the photo be? - Tablecloth
The table top is 90 cm long and 50 cm wide. How many cm of lace edging is necessary for the tablecloth that hangs on each side by 10 cm? - Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality). - Gimli Glider
Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots. Calculate how long it takes for a plane to hit the ground from engine failure.
- Similarity 80742
Calculate the perimeter of triangle ABC if you know that it is similar to triangle EFG in which e=144 mm, f=164 mm, g=92 mm, and the similarity ratio is 4. Express the result in cm. - Described 45691
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m? - Rectangular 8601
The rectangular plot has dimensions of 48 mm and 72 mm on the plan on a scale of 1:5000. Calculate its dimensions and give the results in meters. - Diameter 6041
We baked a cake with a diameter of 26 cm. We watered it with icing. The dog licked 45% of the icing. What area did we have left?
- Occupies 5461
What is the land area in reality if 1 cm² occupies on a 1:20000 scale map? - The small
The small hand of the wall clock is 15 cm long. What a long journey the end of the hour hand in 15 minutes will describe. (b - in 2 hours)? - Clock
What distance will pass the end of 8 cm long hour hand for 15 minutes? - Chords centers
The circle with a diameter 17 cm, upper chord/CD/ = 10.2 cm and bottom chord/EF/ = 7.5 cm. The midpoints of the chords H, G is that/EH/ = 1/2 /EF/and/CG/ = 1/2 /CD/. Determine the distance between the G and H if CD II EF (parallel). - Intersection 3383
A regular 15-angle is given. A triangle is formed if we connect points 3 and 7, 13 and 10. The vertices are 3 and 13, and the lines' intersections are 3.7 and 13.10. We are to determine the angle size formed by sides 3.7 and 13.10. These numbers indicate
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