Planimetrics - math word problems - page 93 of 169
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: 3379
- Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both). - Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how many% less the area of the rectangle has decreased. - Individual 17891
The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m². - Department 3500
The city plan has a scale of 1:5 0000, which determines the actual dimensions of a department store that has a length of 18 mm and a width of 25 mm. - Negative and postcard
The image on the negative has dimensions of 36x24 mm and is enlarged to a postcard format of 13.5x9 cm. In what proportion have the lengths increased? In what proportion has the image area increased? - Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Wheels
A small tractor wheel with a diameter of 60 cm must be rotated eight times to overcome some pathways. How many times must you turn the big tractor wheel with a radius of 60 cm to overcome the same distance? - Mirror
How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm, and Paul is from the tower distance of 20 m. - 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). - 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. - 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. - Described 45691
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes?
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