Area + direct relationship - practice problems - page 3 of 5
Number of problems found: 90
- Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get? - Divide
Divide the area of rectangles with dimensions of 32m and 10m by the ratio of 7:9. What area corresponds to a smaller section? - Map scale
The rectangular plot has a scale of 1:10000 area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map? - Seedlings 6051
A forest nursery needs an area of 1.25 square meters per pine seedling. How many pine seedlings are planted in an area of 9 acres?
- Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Garden
The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden? - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Occupies 5461
What is the land area in reality if 1 cm² occupies on a 1:20000 scale map? - Schoolmaster 5412
The schoolmaster has a classroom schedule where the linoleum needs to be replaced. The classroom floor is a 45mm x 65mm rectangle on a 1:200 scale plan. How much will linoleum cost if 1 square meter costs €13.80?
- MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Acres
For two hours, 24 students harvested chestnuts on 36 acres. How many square meters are harvested by 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? - Rectangular 4780
The plan of the television studio is made on a scale of 1:150. The plan has a rectangular studio measuring 5 cm and 6 cm. How many crowns will we pay to cover the studio with a floating floor if we pay 356 crowns for 1 m² of floating floor?
- Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Rhombus and diagonals
The rhombus area is 150 cm2, 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 its surface area and volume? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 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 side will the land have at a scale of 1:5000?
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Area - practice problems. Direct relationship - practice problems.