Area + direct relationship - practice problems - page 4 of 5
Number of problems found: 90
- Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Sides ratio
Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - Workers 3235
Eight workers in 6 days sweep 2400 m² roads. How many m² will six workers clean in 4 days? - 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.
- Conservationists 2820
A group of nature conservationists (a total of 28 members) and a sports team (16 members) worked for 7 days to clean up the forest park with an area of 10 ha. How many days would conservationists have to work without the help of athletes? - Centimeters 2721
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The area of the trapezium is 128 cm². Calculate the length of the base and the height of the trapezoid. - Land area
The land area of Asia and Africa are in a 3:2 ratio, and the European and African are 1:3. What are the proportions of Asia, Africa, and Europe? - Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a speed of 42 km/h. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run t
- Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass? - Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation. - 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? - Bathroom
How much CZK do we pay for lining the perimeter walls of the bathroom with rectangular shapes with dimensions of 3.5 m and 4 m, high 1.5 m if 1 square m tile costs 300 CZK? - Map scale
The garden has on the plan a scale of 1:150, width 22 cm, and length 35 cm. What is the real area of the garden?
- 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? - Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square? - Floating floor
In the new building is considered a floating floor worker in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in 4 rooms with a total area of 90 m²? - Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm.
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