Planimetrics - math word problems - page 90 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: 3362
- Rectangles
How many different rectangles with sides integers (in mm) have a circumference of exactly 1000 cm? (a rectangle with sides of 50cm and 450cm is considered to be the same as a rectangle with sides of 450cm and 50cm) - Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²? - Eight-square 29951
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²? - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Garden
The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden? - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises? - 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.
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