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The area of four walls in a room is 120msquare the length is twice its breadth its height is 4mwhat is the area of the floor?
Think of the room as a box with four sides and a bottom. You want to know the area of the bottom. You know that the total area of all four sides added together is 120 square meters. You don't know the dimensions of each wall yet, but you know the ratio: length is twice the breadth or width. You know that the height of each side is 4 meters. So use those values to assign variables to the length and width of each side.
Each set of opposite sides will be equal in area. Say there are four sides: A, B, C and D. Sides A and C are opposite each other; sides B and D are opposite each other. Say sides A and C are the longer sides. That means that sides A and C are each 2x meters long and 4 meters high. The area of each side is 8x square meters. Sides B and D are the shorter sides. They are each x meters long and 4 meters high. The area of each side is 4x square meters. Now you have an expression for the area of each of the four sides. Set their sum equal to 120 square meters and solve for x.
8x + 8x + 4x + 4x = 120
24x = 120
x = 5
So x = 5. That tells you that the length of sides A and C is 2(5) = 10 meters each, and the length of sides B and D is 5 meters each. That gives you the information to solve for the area of the bottom of the box, or the floor. Just multiply the lengths: 5 x 10 = 50 square meters.
The floor of the room is 50 square meters. Two of the walls are 10 x 4 or 40 square meters each, and two of them are 5 x 4 or 20 square meters each. Altogether the four walls are 40 + 40 + 20 + 20 = 120 square meters.
Drawing a diagram in these kinds of problems really helps!
What else can I help you with?
Does a 2D shape have lenght breadth and height?
No, only breadth and length
What is the formula used to find the length of a rectangular prism?
The answer depends on what information you are given: (volume, breadth and height), (surface are, breadth and height), (principle diagonal, breadth and height), (mass, density, breadth and height) or some other set.
How do you do volume of a rectangular prism?
It is Length * Breadth * Height.
How can i find the Volume of a square tank?
multiply its height,breadth and length
How do you work out the volume of a box in meters?
length by breadth by height in metres
What is the number representing the linear dimension of an object is referred to as?
Length (breadth, width or height are also used).Length (breadth, width or height are also used).Length (breadth, width or height are also used).Length (breadth, width or height are also used).
What is the formula of length into breadth into height?
volume is equal to length x breadth x height
How do you calculate the area of a rectangular crystal surface?
It is 2*(Length*Breadth + Breadth*Height + Height*Length).
Does a 2D shape have lenght breadth and height?
No, only breadth and length
How do you find height when length and breadth are given in rectangle?
A rectangle is a 2-dimensional object. It cannot have length and breadth AND height. If three dimensions are given, then two of them (eg breadth and height) must stand for the same thing.
Does a 2d shape have breadth and height?
It has two dimensions of length: whether you call them length, breadth, height or width depends on the orientation of the shape and your preference.
What is the formula used to find the length of a rectangular prism?
The answer depends on what information you are given: (volume, breadth and height), (surface are, breadth and height), (principle diagonal, breadth and height), (mass, density, breadth and height) or some other set.
What does breadth mean?
Breadth us another word for 'width' - a rectangular block, such as a brick, has length, breadth and height.
How do you do volume of a rectangular prism?
It is Length * Breadth * Height.
What is the height of an acre?
0. An acre is a measure of area: it has a length and a breadth but not a height.
How do you find the square footage of a 9' by 9' room?
Area of rectangle = Length x Breadth = 9x 9= 81sq feet Acc. to me a room has three dimensions length, breadth and height. If you know the area of the woom and length and breadth you can find height.
What are 2 and 3 dimensional figures?
A point is 0-dimensional ... it has no length, breadth or height. A line is 1-demensional ... it has length, but no breadth or height. A square, circle, triangle etc is 2-dimensional ... each of them have length and breadth, but no height A cube, cylinder, sphere etc is 3-dimensional ... each of them have lenght, breadth and height.
