Answer
Verified
407.4k+ views
Hint: - Here we have to go through the properties of the rectangle and we should apply the formula of area of the rectangle i.e. $l \times b$. Where l= length and b= breadth.
Complete step-by-step answer:
Here in the question it is given that the length of a rectangular rug is 2 feet more than its width.
So now we assume that the width of the rectangular rug be ‘x’.
Now as according to the statement of the question the length of a rectangular rug is 2feet more than its width, therefore, the length of the rug is x+2.
And in the question it is also given that the length of the rug is 8feet which means
$
\Rightarrow 8 = x + 2 \\
\Rightarrow x = 8 - 2 \\
\therefore x = 6 \\
$
Therefore, the width of the rug is 6 feet.
Now as we know that the area of the rectangle is length$ \times $breadth.
Now put the value of the length and breadth in the formula to find out the area of rug.
$\therefore $Area of rug= $8 \times 6 = 48sq.ft$
Area of the rectangular rug is 48 square feet.
Hence, option B is correct.
Note: - Whenever we face such type of a question the key concept for solving the question is to first find out the data that is used in the formula for finding the area so for doing that we should assume one side as some variable and then equate it with the other given side by applying the statements of the question by this process we will easily find out the answer.
Complete step-by-step answer:
Here in the question it is given that the length of a rectangular rug is 2 feet more than its width.
So now we assume that the width of the rectangular rug be ‘x’.
Now as according to the statement of the question the length of a rectangular rug is 2feet more than its width, therefore, the length of the rug is x+2.
And in the question it is also given that the length of the rug is 8feet which means
$
\Rightarrow 8 = x + 2 \\
\Rightarrow x = 8 - 2 \\
\therefore x = 6 \\
$
Therefore, the width of the rug is 6 feet.
Now as we know that the area of the rectangle is length$ \times $breadth.
Now put the value of the length and breadth in the formula to find out the area of rug.
$\therefore $Area of rug= $8 \times 6 = 48sq.ft$
Area of the rectangular rug is 48 square feet.
Hence, option B is correct.
Note: - Whenever we face such type of a question the key concept for solving the question is to first find out the data that is used in the formula for finding the area so for doing that we should assume one side as some variable and then equate it with the other given side by applying the statements of the question by this process we will easily find out the answer.
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
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE