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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

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 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.
2metres
4 metres
8 metres
3 metres

Q 2: If the length, width and height of a room are 16 metres, 20 metres and 6 metres respectively. Find the total area of four walls.
430 square metres
420 square metres
432 square metres
None of these

Q 3: If the length and height of a room are 17 metres and 4 metres respectively and the total area of four walls is given by 208 square metres, then find the width of the room.
2 metres
10 metres
6 metres
9 metres

Q 4: 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.
12 metres
23 metres
10 metres
5 metres

Q 5: 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.
150 square metres
100 square metres
104 square metres
140 square metres

Q 6: 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
3 metres
8 metres
4 metres

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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