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The area of the four walls of a hall is 660 sq m the length is twice the breadth and the height is 11 m find the area of the ceiling?
The combined area of all four walls is the height (h) times the perimeter (p) of the hall. Since the height is given as 11 m, we can calculate the perimeter...
p = 660 m2 ÷ 11 m = 60 m.
The perimeter is two times the length (l) plus two times the breadth (b).
p = 2l + 2b
The length is given as twice the breadth.
l = 2b
Substituting 2b for l in the previous equation gives us...
p = 2(2b) + 2b = 4b + 2b = 6b
We had determined that the perimeter is also 60 m, so...
6b = 60 m
Dividing each side of the equation by 6 gives us...
b = 10 m
Substituting 10 m for b in the equation for l above gives us...
l = 2(10 m) = 20 m
The area of the ceiling is...
a = l x b
Finally, substituting the values of l and b yields...
a = 20 m x 10 m = (20 x 10) x (m x m) = 200 m2
Of course, the last step in solving any word problem is to confirm that we found what was asked for (in this case, the area of the ceiling), which we did. Also, one advantage that word problems have over regular math problems is that they give us the benefit of what I call the ridiculous test. Ask yourself whether or not the magnitude and/or units of your answer is ridiculous for what was asked for (200 m2 is a reasonable ceiling area for a hall).
What else can I help you with?
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The perimeter of a floor is 24 meters the length is twice that of the breadth find 1 the length and 2 the breadth?
2l+2w=24 l=2w 2(2w)+2w=24 4w+2w=24 6w=24 w=4 l=2w=2*4=8 Length is 8 meters, the width (or breadth) is 4 meters.
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Well, isn't that just a happy little problem to solve! To find the area of a rectangle, you multiply the length by the breadth. And to find the length, you can use the formula: length = (perimeter - 2 * breadth) / 2. Just remember, there are no mistakes, only happy accidents in math!
The perimeter of an area is 48 meters the length is twice that of the breadth find 1 the length and 2 the breadth?
2l+2w=48 l=2w 2(2w)+2w=48 4w+2w=48 6w=48 w=8 l=2*8=16 So, the length is 16 meters and the width (or breadth) is 8 meters.
The perimeter of a floor is 24 meters the length is twice that of the breadth find 1 the length and 2 the breadth?
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How do you find the area from the perimeter of a rectangle?
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The volume of a rectangular prism is 2058 cubic cm The length of the prism is 3 times the width The height is twice the width Find the length of the prism?
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What is the area of a rectangle whose perimeter is 136?
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The perimeter of a length is 122 meters and the length is one more meter than twice the width what is the length?
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