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### Grade 7 - Mathematics9.41 Area of the Four Walls of a Room - I

 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. 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: 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) 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 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.4 metres3 metres9 metres8 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.432 square metres430 square metres420 square metresNone of these Q 3: 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 metres10 metres5 metres12 metres Q 4: 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.3 metres12 metresNone of these16 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 metres2 metres13 metresNone of these Q 6: 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 metres140 square metres100 square metres104 square metres Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!