Answer
Verified
398.4k+ views
Hint: Here we have to tell the length of the carpet required for the floor which is equal to the total area of the floor, and we have to tell the dimension of the paper for the wall which is equal to the area of the four walls. Hence, after solving these we will get our required answer.
Complete step-by-step answer:
According to the given information in question we have the dimensions of the room which is x meters long y meters broad and z meters high
Length = x, breadth = y, height = z
The required square meter of carpet can be find using the formula of square i.e.
\[Area = length \times breadth\] ………………………..(1)
Substituting the given values in the equation 1
Area of the floor = \[l \times b\]=$x \times y$
So xy m2 is the area of floor
To find the area of 4 walls we will use the formula \[l \times h + b \times h + l \times h + b \times h\] or 2h (l + b)
Substituting the given values in the above formula
Area of four walls = 2h (l+b) = 2z(x+y)
$ \Rightarrow $Area of 4 walls = 2xz + 2yz
Hence, option A is the correct option.
Note: In the question it is advised to remember that formula for area of square to find the area of carpet required for the floor moreover there is a very important property of the rectangle that the 2 sides of the rectangle are parallel and equal to each other. In these types of questions once you find the way to approach the solution to the problem you will understand that these types of questions can easily be solved by the basic formulas of shapes like a rectangle, square etc.
Complete step-by-step answer:
According to the given information in question we have the dimensions of the room which is x meters long y meters broad and z meters high
Length = x, breadth = y, height = z
The required square meter of carpet can be find using the formula of square i.e.
\[Area = length \times breadth\] ………………………..(1)
Substituting the given values in the equation 1
Area of the floor = \[l \times b\]=$x \times y$
So xy m2 is the area of floor
To find the area of 4 walls we will use the formula \[l \times h + b \times h + l \times h + b \times h\] or 2h (l + b)
Substituting the given values in the above formula
Area of four walls = 2h (l+b) = 2z(x+y)
$ \Rightarrow $Area of 4 walls = 2xz + 2yz
Hence, option A is the correct option.
Note: In the question it is advised to remember that formula for area of square to find the area of carpet required for the floor moreover there is a very important property of the rectangle that the 2 sides of the rectangle are parallel and equal to each other. In these types of questions once you find the way to approach the solution to the problem you will understand that these types of questions can easily be solved by the basic formulas of shapes like a rectangle, square etc.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE