Planimetrics - practice for 12 year olds - page 40 of 48
Number of problems found: 958
- Painter 3
Dad wants to paint the wall high 250 cm, wide 230 cm with wallpaper. How many meters must he buy wallpaper if the wallpaper width is 60 cm? - Angles ratio
In an ABC triangle, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is: - Two squares
Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio.
- RT and ratio
A right triangle whose legs are in a ratio 6:12 has a hypotenuse 68 m long. How long are its legs? - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - The perimeter 3
The perimeter of a rectangle is 35 cm. The length ratio to its width is 3:2. Calculate the rectangle's dimensions. - Circumference 17533
If we enlarge the side of the square by half, its circumference will be 24 cm larger than the original. What is the side of the square? - Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ... Δ DEF: 55 dm, 82 dm, 61 dm ... Δ GHI: 24 mm, 25 mm, 7 mm ... Δ JKL: 32 dm, 51 dm, 82 dm ... Δ MNO: 51 dm, 45
- Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Perimeter 4497
The width of the rectangle is 65% of the length. Calculate the lengths of the sides of a rectangle if its perimeter is 132dm. - Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Difference 79094
Trapezoid, gamma angle=121°, alpha angle=2 thirds of delta angle. Calculate the angle difference alpha, beta
- Circumference 3589
Calculate the circle's radius if the circumference and area are in a 2:5 ratio. - Medians in triangle
The median of the isosceles triangle has a length of 3 cm. Determine the size of its sides if its perimeter is 16 cm. - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - Circumference 20703
How do I change the length of a diamond's side if I want its circumference to double? - Dimensions 7706
Change both dimensions of the rectangle in a ratio of 9:4. Flood dimensions are 0.8 dm and 16 cm. What are the dimensions of the rectangle after the change?
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