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Practice — Maths 9 • Calculating area and perimeter in real-life problems

Finding area and perimeter in practical problems
Difficulty: ★★☆
2044 • Задача 1, вариант 1
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An apartment has the shape of a rectangle and consists of two rooms, a kitchen, a corridor, and a bathroom (see the diagram). The kitchen measures \(3.5\text{ m}\times 4\text{ m}\), the second room measures \(4\text{ m}\times 4\text{ m}\), the bathroom measures \(1.5\text{ m}\times 2.5\text{ m}\), and the corridor length is \(10\text{ m}\). Find the area of the first room in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2045 • Задача 1, вариант 2
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Using the given house plan, find its area. Express the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2046 • Задача 1, вариант 3
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Find the area of the figure shown in the diagram if the side of each grid cell is \(2\text{ m}\). Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2047 • Задача 1, вариант 4
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A rectangular country plot measures \(40\text{ m}\times 30\text{ m}\). There is a shed on the plot in the shape of a rectangle with sides \(5\text{ m}\times 4\text{ m}\), and a gazebo in the shape of a square with side \(3\text{ m}\). Determine the area of the plot not occupied by the shed and the gazebo. Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2048 • Задача 1, вариант 5
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An apartment has the shape of a rectangle and consists of two rooms, a kitchen, a corridor, and a bathroom (see the diagram). The kitchen measures \(3\text{ m}\times 4\text{ m}\), the first room measures \(6\text{ m}\times 4\text{ m}\), the bathroom measures \(1.5\text{ m}\times 2\text{ m}\), and the corridor length is \(10\text{ m}\). Find the area of the second room in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2049 • Задача 1, вариант 6
Question image

Using the given house plan, find its area. Express the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2050 • Задача 1, вариант 7
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Find the area of the figure shown in the diagram if the side of each grid cell is \(3\text{ m}\). Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2051 • Задача 1, вариант 8
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A rectangular country plot measures \(50\text{ m}\times 30\text{ m}\). There is a greenhouse on the plot in the shape of a rectangle with sides \(10\text{ m}\) and \(8\text{ m}\), and a gazebo in the shape of a square with side \(6\text{ m}\). Determine the area of the plot not occupied by these structures. Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2052 • Задача 1, вариант 9
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An apartment has the shape of a rectangle and consists of two rooms, a kitchen, a corridor, and a bathroom (see the diagram). The first room measures \(3.5\text{ m}\times 5\text{ m}\), the second room measures \(4\text{ m}\times 3.5\text{ m}\), and the corridor length is \(10\text{ m}\). Find the area of the bathroom in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2053 • Задача 1, вариант 10
Question image

Using the given house plan, find its area. Express the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2054 • Задача 1, вариант 11
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Find the area of the figure shown in the diagram if the side of each grid cell is \(4\text{ m}\). Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2055 • Задача 1, вариант 12
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A rectangular country plot measures \(40\text{ m}\times 20\text{ m}\). There is a shed on the plot in the shape of a rectangle with sides \(6\text{ m}\times 5\text{ m}\), and a gazebo in the shape of a square with side \(4\text{ m}\). Determine the area of the plot not occupied by the shed and the gazebo. Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2056 • Задача 1, вариант 13
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An apartment has the shape of a rectangle and consists of two rooms, a kitchen, a corridor, and a bathroom (see the diagram). The kitchen measures \(3.5\text{ m}\times 3\text{ m}\), the first room measures \(5\text{ m}\times 3.5\text{ m}\), the bathroom measures \(1.5\text{ m}\times 2\text{ m}\), and the corridor length is \(10\text{ m}\). Find the area of the second room in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2057 • Задача 1, вариант 14
Question image

Using the given house plan, find its area. Express the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2058 • Задача 1, вариант 15
Question image

Find the area of the figure shown in the diagram if the side of each grid cell is \(5\text{ m}\). Give the answer in \(\text{m}^2\).

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Finding area and perimeter in practical problems
Difficulty: ★★☆
2059 • Задача 1, вариант 16
Question image

A rectangular country plot measures \(50\text{ m}\times 40\text{ m}\). There is a shed on the plot in the shape of a rectangle with sides \(9\text{ m}\times 7\text{ m}\), and a gazebo in the shape of a square with side \(5\text{ m}\). Determine the area of the plot not occupied by the shed and the gazebo. Give the answer in \(\text{m}^2\).

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