Planimetrics - math word problems - page 117 of 184
Number of problems found: 3673
- Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment.
- Calculate 39031
In the triangle ABC, the line tb = | is given BB1 | Calculate the length of this line if B1T | = 3cm.
- Altitude difference
What is a climb permillage of the hill that is 4 km long and has an altitude difference of 6 meters?
- The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX?
- Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle?
- Pipeline
How much percent has the pipe cross-section area changed (reduced) if the circular shape is changed to square with the same perimeter?
- Calculate 16223
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).
- Polygon - area coordinates
Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7)
- Circumference 70984
The length of the rectangle measures 12 cm. Calculate its circumference if the length-to-width ratio is 4:3
- Percentage 58703
In the park, with an area of 1413 m2, there is a circular fountain with a diameter of 6 m. What percentage of the park does the fountain occupy?
- Smallest 32811
Which diamond with a side length of 7.5 cm has: a / largest area, b / smallest area
- Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2:3:5 ratio.
- Circumference 15873
The sides of the triangle are in a ratio of 3:4:6. One side of it measures 21 cm. Calculate its circumference.
- Dimensions 9371
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change?
- Bathroom 3
The bathroom measures 300x210 cm. What are the largest square tiles and how many will I need to cover the floor?
- Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden?
- Percentage 24151
In a square garden with a side length of 12 m, there are two circular flower beds with a diameter of 4 m, and the rest is grass. Determine the area that is overgrown with grass. What percentage of the garden is occupied by flower beds?
- Sides of a rectangle
The dimensions of a rectangle are in a 4:12 ratio. If the shorter side length is 12 cm, what is the length of the longer side in centimeters?
- Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm?
- Regular 62524
The floor in the game tower has the shape of a regular hexagon with a side length of 5m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%?
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