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Online Quiz (Worksheet A B C D)

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Grade 7 - Mathematics
9.41 Area of the Four Walls of a Room - I

  1. Example:
    If the length, width and height of a room are 7 metres, 8 metres and 6 metres respectively. Find the total area of four walls.

    Solution:
    Given that, length (l) = 7 metres, width (b) = 8 metres and height (h) = 6 metres
    The total area A = 2h (l+b)
    ie A = 2 * 6 (7+8)
    = 12 * 15
    = 180 square metres.
    Hence the total area of the four walls = 180 square metres.

  2. Example:
    If the length of a room is twice its width and the height of the room is given by 3 centimeters then, find the width of the room. Given the total area of four walls is 216 square centimeters.

    Solution:
    Let 'x' be the width of the room.
    Then the length (l) = 2x and given that the height (h) = 3 centimeters.
    The area is A = 2h (l+b).
    ie 2 * 3 (2x+x) = 216.
    ie 6 * 3x = 216.
    ie x = 216/18 = 12.
    Hence the width of the room = 12 centimeters.



Directions: Read the above example carefully and answer the following questions:
  1. Find the total area of the four walls of a hall, if its height, width and length are x, 2x and 3x respectively. Also find the area when x = 4 centimeters.
    (Answer:- 10x)
  2. If the length of a room is three times its width and the height of the room is given by 6 metres then find the width of the room. The total area of four walls is given by 192 square metres.
    (Answer:- 4 metres)


Q 1: If the width and height of a room are 12 metres and 5 metres respectively and the total area of four walls is given by 240 square metres, then find the length of the room.
23 metres
5 metres
12 metres
10 metres

Q 2: If the length and height of a room are 14 metres and 7 metres respectively. The total area of four walls is given by 308 square metres. Find the width of the room.
3 metres
4 metres
2metres
8 metres

Q 3: If the width and height of a room are 16 metres and 8 metres respectively and the total area of four walls is given by 400 square metres, then find the length of the room.
9 metres
8 metres
3 metres
4 metres

Q 4: If the length, width and height of a room are 8 metres, 5 metres and 4 metres respectively. Find the total area of four walls.
140 square metres
100 square metres
150 square metres
104 square metres

Q 5: If the length and width of a room are 19 metres and 9 metres respectively and the total area of four walls is given by 112 square metres, then find the height of the room.
14 metres
2 metres
None of these
13 metres

Q 6: If the length and width of a room are 7 metres and 17 metres respectively and the total area of four walls is given by 144 square metres, then find the height of the room.
16 metres
12 metres
None of these
3 metres

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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