Planimetrics - math word problems - page 106 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
- Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears? - Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cmx32 cm. How many tiles will they nee - Cents-diameter 8084
In what proportion are the diameters of these coins: 10 cents-diameter 19.75mm 20 cents-diameter 22.25mm 50 cents-diameter 24.25mm
- Center traverse
Does the middle traverse indeed bisect the triangle? - Complementary 81152
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden? - What is
What is the circumference of an isosceles trapezoid with an area of 106.75 cm²? The lengths of the sides are in the ratio of 1:3:2:1, and the bases are 6.1 cm apart. - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle?
- Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm. - Gardens
The garden has a square shape with a circumference of 124 m. Divide it into two rectangular gardens; one should have a circumference of 10 meters more than the second. What size will the gardens be? - Distance 6164
What is the area of a square when the distance between parallel lines is 6? - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5]. - Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper John needs to make a kite if he needs a paper on both sides and needs 5% of the paper for bending?
- Two chords
Calculate the length of chord AB and perpendicular chord BC to the circle if AB is 4 cm from the circle's center and BC 8 cm from the center. - Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides. - Consumption 30411
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide? - Circumference 3160
In an isosceles triangle, the base length is 75% of the arm's length. Calculate the area of the triangle if the circumference is 22 cm. - Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.
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