Planimetry - math word problems - page 114 of 187
Number of problems found: 3739
- Flowerbed
We enlarged the circular flower bed, increasing its radius by 3 m. The substrate consumption per enlarged flower bed was nine times greater than before (at the same layer height as before magnification). Determine the original flowerbed radius. - Rectangular Garden Area
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of the length and the length by 14% of the width, the property perimeter will increase by 13 meters. How much will the property cost p - A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal? - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the perimeter and area of a trapezoid. - Figure
Figure A is a scale image of Figure B, as shown. (Figure A is 6 inches, and Figure B is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x - Ski slope decrease
A ski slope drops 220 m in altitude over a horizontal distance of 800 m. Determine the percentage gradient. - Lake or pond
A landlord has a square pond. Trees grow around it. He wants to double the area of the pond without cutting down or flooding any trees. How will he do that? - Screens
The area of a 25-inch TV screen is 300 in² and the area of a 40-inch TV screen is 768 in². What percentage of the larger screen's area is the smaller screen's area? - 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? - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Expansion
If one side of a rectangle is multiplied by 2 and the other side by 4, by what percentage does the area increase? - Triangle area perimeter
Calculate the area and perimeter of the right triangle ABC if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Vector magnitudes
Determine the magnitude of the vectors u = (2,4) and v = (-3,3) - Vectors
Vector a has coordinates (8; 10), and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - Square ratio comparison
Two squares are given. The first has a side length of 5 cm, the second 10 cm. Write the ratio of: for a- of their sides for b- their perimeters for c- their areas - Rectangle side percentage
One side of a rectangle is 45% of the length of its other side. What are the dimensions of a rectangle if its perimeter is 101.5 cm? - Track ascent meters
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Rectangle diagonal ratio
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm.
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