Perimeter - examples
- Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
Area of square garden is 6/7 of triangle garden with sides 96 m, 60 m and 60 m. How many meters of fencing need to fence a square garden?
- Trapezoid MO
The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Triangle SAS
Calculate area and perimeter of the triangle, if the two sides are 19 cm and 80 cm long and angle them clamped is 90°.
Washing machine drum wash at 75 RPM. Washing machine motor pulley has diameter 6 cm. What must be the diameter of the drum machine pulley when the motor is at 316 RPM?
Calculate the perimeter and area of rhombus whose diagonals are 15 cm and 27 cm long.
- Right triangle Alef
The perimeter of a right triangle is 132 cm, the hypotenuse is 55 cm long. Determine the lengths of the legs.
In rectangle with sides 10 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
- Circle arc
Circle segment has a circumference of 13.26 mm and 252.03 mm2 area. Calculate the radius of the circle and size of central angle.
Area of the side of two cylinders is same rectangle of 45 cm × 32 cm. Which cylinder has a larger volume and by how much?
How many steps you save if you go square estate for diagonal (crosswise), rather than circumvent on the two sides of its perimeter with 298 steps.
- Two squares
Two squares whose sides are in the ratio 4:3 have sum of its perimeters 103 cm. Calculate the sum of area this two squares.
- Square diagonal
Calculate length of the square diagonal if the perimeter is 200 cm.
Circular cone of height 16 cm and volume 5024 cm3 is at third of the height (measured from the bottom) cut plane parallel to base. Calculate the radius and circumference of the circular cut.
Convert 54° to radians. Write result as multiple of number π.
Circle arc corresponding to angle is 193° is 23 dm long. What is the length of the entire circle?
- Earth parallel
Earth's radius is 6378 km long. Calculate the length parallel of latitude 50°.
Calculate perimeter of the circle described by a triangle with sides 418, 59, 430.
The floor area of the room is 29 m2 and has a width of 2 m. How many centimeters of circumference measured floor on the map at the scale 1:100?
- Rectangle - sides ratio
Calculate area of rectangle whose sides are in ratio 1:7 and perimeter is 735.