Square root + perimeter - practice problems - page 5 of 6
Number of problems found: 110
- Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Calculate 2416
In the rectangle ABCD we know the side length AB = 16 cm and the diagonal AC = 20 cm. Calculate its perimeter and area. - Central park in city
The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than walking along the path arou - Triangle eq
Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and area.
- Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle. - Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness? - Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long. - ISO trapezoid v2
Bases of Isosceles trapezoid measured 20 cm and 4 cm, and its perimeter is 55 cm. What is the area of a trapezoid? - OPT
What is the perimeter of a right triangle with the legs 14 cm and 21 cm long?
- Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 40 cm, and one of the diagonals is of length 10 cm. - Height
Calculate the height of the equilateral triangle if its perimeter is 48. - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Rhombus ABCD
Rhombus ABCD, |AC| = 63 cm, |BD| = 50 cm. Calculate the perimeter of the rhombus ABCD. - Short cut
Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go direct across the field? - Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
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