Questions & Answers

Question

Answers

\[

{\text{A}}{\text{. }}16 \\

{\text{B}}{\text{. }}48 \\

{\text{C}}{\text{. }}66 \\

{\text{D}}{\text{. }}80 \\

{\text{E}}{\text{. }}96 \\

\]

Answer
Verified

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.

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.

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