# Area + direct relationship - practice problems

#### Number of problems found: 51

- Acres

Two hours 24 students harvested chestnuts on 36 acres. How many square meters harvested one student per hour? - Map scale

On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Rectangle 3-4-5

The sides of the rectangle are in a ratio of 3:4. The length of the rectangle diagonal is 20 cm. Calculate the content of the rectangle. - Rhombus and diagonals

The rhombus area is 150 cm^{2}, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Cube

One cube has an edge increased five times. How many times will larger it's surface area and volume? - Cuboid - ratios

The sizes of the edges of the cuboid are in the ratio 2: 3: 5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - The land

The land in the shape of a square has 9 ha. How big a page will the land have at the scale of 1: 5000? - Prism bases

Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Determine the area of the base and walls of the prism. - Sides ratio

Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - Trapezium

The length of the base and the height size of the base of the trapezium is at ratio 5:3:2, the content 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, the European and African are is 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 8 sheets of glass. Each was shaped a square with sides of 18 cm. We paid 44 CZK. How much is a 1 m² of glass? - Trapezoid

Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation... - Painter 3

Dad want to paint wall high 250 cm wide and 230 cm with wallpaper. How many meters must buy wallpaper if wallpaper width is 60 cm? - Bathroom

How many CZK do we pay for lining the perimeter walls of the bathroom with rectangular shape with dimensions 3.5 m and 4 m, high 1.5 m if 1 square m tile cost 300 CZK? - Map scale

Garden has on plan on 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 6 cm and 9 cm. How many times increases area and its perimeter, when its dimensions increase in the ratio 5:3? - Floating floor

In the new building is considered a floating floor worker in each room. 30 minutes lay 9 m² of the floor. How long 3 workers laid 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 2:1. The triangle created by points A, cross point of diagonals S and point D has area 164 cm². What is the area of the trapezoid?

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Area - practice problems. Direct relationship - practice problems.