# Perimeter - 6th grade (11y) - math problems

1. Coal mine The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times?
2. An equilateral triangle The perimeter of an equilateral triangle is 33cm. How long is each side? Calculate the radius of the circle whose length is 107 cm larger than its diameter
4. Squares From a square of 12 dm perimeter is cut smaller square, whose side is the third side of the square. What is the area of the rest?
5. Washer Washing machine drum wash at 58 RPM. Washing machine motor pulley has diameter 9 cm. What must be the diameter of the drum machine pulley when the motor is at 438 RPM?
6. Two squares Two squares whose sides are in the ratio 5:2 have sum of its perimeters 73 cm. Calculate the sum of area this two squares.
7. Mr. Zucchini Mr. Zucchini had a rectangular garden whose perimeter is 28 meters. Content area of the garden filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and
8. Quarter circular The wire that is hooked around the perimeter of quarter-circular arc has length 3π+12. Determine the radius of circle arc.
9. Prism Three cubes are glued into prism, sum of the lengths of all its edges is 115 cm. What is the length of one edge of the original cube?
10. Circle How big is area of circle if its circumference is 80.6 cm?
11. Triangles Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
12. Square grid Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm2 and circumference 12 cm and that their sides is in square grid.
13. Rhombus Find the length of each side of rhombus if the perimeter is 49 dm long.
14. Parallelogram Calculate the area and perimeter of a parallelogram whose two sides are long a=24 cm b=22 cm and height ha = 6 cm long.
15. Garden How many steps of 76 cm circumvent square garden with area 1.8 ha?
16. Do you solve this? Determine area S of rectangle and length of its sides if its perimeter is 102 cm.
17. Gardens The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens?
18. Rhombus HP Calculate area of the rhombus with height 24 dm and perimeter 12 dm.
19. Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm.
20. Around the flowerbed Around a rectangular flowerbed with dimensions 5.25 m and 3.5 m are to be planted roses equally spaced so that the roses found in every corner of the flowerbed and consumed them as little as possible. a) At what distance are planted roses? b) How many ros

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