Planimetrics + area - practice problems - page 52 of 76
Number of problems found: 1519
- 5000 8761
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Consumption 80836
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded? - Percentage and rectangle
About what percentage increases the perimeter and area of a rectangle if both the sides are 12 cm and 10 cm long, we increase by 20%?
- Perimeters 81399
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 - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Rectangle 62854
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. - 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? - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square?
- Field on plan
The plan has a scale of 1: 2500. Determine dimensions in centimeters of the plan if the field has a length of 310 meters and 182.5 meters. - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in the area of the hop garden? - Circular segment
Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Inscribed 44101
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. How many times increases the area and its perimeter when its dimensions increase in the ratio of 5:3?
- Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°? - Proportion 7716
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? - Calculate 3167
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. - Divide
Divide the area of rectangles with dimensions of 32m and 10m by the ratio of 7:9. What area corresponds to a smaller section? - Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle?
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