Planimetry - math word problems - page 119 of 187
Number of problems found: 3735
- Czechoslovakia - area
Slovakia has an area 38% smaller than the Czech Republic. Original Czechoslovakia had an area of 128,000 square kilometers. What are the areas of both states? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6 cm long and 4 cm high. - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Point plane distance
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - The ratio
The ratio of the lengths of the two circles is 5:2. Find the ratio of a a) the radii of these circles b) the areas for these circles - CZ flag
What percentage of the Czech flag comprises blue, white, and red textiles? - A rectangle 12
A rectangle has a width of 7.2 cm shorter than its length. The perimeter of this rectangle is 22.8 cm. Write the width-to-length ratio of this rectangle in the simplest form and show how you solve the problem. - Rectangular field
A rectangular field has a diagonal length of 169 m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Square ratio resize
Resize the square to 10:3. The original size is 3 cm. - Rectangle dimension change
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9 cm and 15 cm. What are the dimensions of the rectangle after the change? - Proportion of the continents
The area of Asia and Africa is 8:7, and the area of Europe and Africa is 5:6. In what proportion are the sizes of regions of Asia, Africa, and Europe? - Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus. - Type of triangle
How do you determine the type of triangle if the angle ratio is 2:3:7? - Triangle height calculation
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Trapezoid RT
The plot is a rectangular trapezium ABCD, where ABIICD has a right angle at the vertex B side and AB has a length of 36 m. The lengths of the sides AB and BC are in the ratio 12:7. The lengths of the sides AB and CD are in the ratio 3:2. Calculate the con - Triangle circle calculation
The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle). - Rectangles Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn?
- Square side
If we enlarge the square side a = 5 m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square? - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
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