Planimetrics - math word problems - page 113 of 185
Number of problems found: 3687
- Circle in rectangle
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters. - Reduced - rectangles
The dimensions of the rectangle are a = 42 cm, and b = 91cm. Determine the perimeter and area of the rectangle, which is reduced in size compared to the original rectangle in the ratio 6:7. - Individual gadens
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. - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - Climb
For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (permille, parts per thousand). - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 25%. What is the percentage change in the area of the hop garden? - Forest nursery
In the Forest nursery plant, one borovice to 2 m². Calculate how many plants are planted in the area of 510 acres. - Sprinkler - irrigated area
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover? - Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity. - 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. - Diamond - Equilateral Triangles
We composed the diamond of four equilateral triangles with a side length of 7 cm. What's his circuit? - Stone squares
Draw two stone squares. They have a total of 34 stones. What edges do the squares have? - Circle radius
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - FX parabola Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
- 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 - Dividing Rectangular Plot
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens
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