Answer
453k+ views
Hint: First find the other side of the rectangle by equating the perimeter of square and rectangle. Now use formula for area of square and rectangle to get the final answer.
Complete step-by-step answer:
It is given that perimeter of rectangle = perimeter of square.. (1)
Step 1: Let us suppose that side of square = s
Perimeter of square = $60 + 60 + 60 + 60 = 240$= (4s)
From (I)
$
2\left( {l + b} \right) = 240 \\
\Rightarrow 2\left( {80 + b} \right) = 240 \\
\Rightarrow 160 + 2b = 240 \\
\Rightarrow 2b = 240 - 160 \\
\Rightarrow 2b = 80 \\
\Rightarrow b = 40 \\
\\
$
So, $l = 80,{\text{ b = 40}}$
Step 2: Now we have to find out whether the area of square has the larger area or the area of rectangle has the larger area:
We know that:
Area of square=$side \times side$
=$
60 \times 60 \\
= 3600 \\
$
Area of rectangle= $l \times b$
$
= 80 \times 40 \\
= 3200 \\
$
Therefore, the area of the square is greater than the area of the rectangle that is 3600.
Note: Whenever we face such types of questions, the key concept is that we have to first calculate the perimeter of the square then the perimeter of the rectangle. First, we calculate the perimeter of the square like we did in the question. With the help of the perimeter of the square we will calculate the breadth of the rectangle by applying the formula$2\left( {l + b} \right)$. Second step is to calculate the area of the rectangle and area of square and to check whether the fig a has the larger area or the fig b has the larger area. After applying the formula we get our required answer , like in the above question the area of the square is greater than the area of the rectangle.
Complete step-by-step answer:
It is given that perimeter of rectangle = perimeter of square.. (1)
Step 1: Let us suppose that side of square = s
Perimeter of square = $60 + 60 + 60 + 60 = 240$= (4s)
From (I)
$
2\left( {l + b} \right) = 240 \\
\Rightarrow 2\left( {80 + b} \right) = 240 \\
\Rightarrow 160 + 2b = 240 \\
\Rightarrow 2b = 240 - 160 \\
\Rightarrow 2b = 80 \\
\Rightarrow b = 40 \\
\\
$
So, $l = 80,{\text{ b = 40}}$
Step 2: Now we have to find out whether the area of square has the larger area or the area of rectangle has the larger area:
We know that:
Area of square=$side \times side$
=$
60 \times 60 \\
= 3600 \\
$
Area of rectangle= $l \times b$
$
= 80 \times 40 \\
= 3200 \\
$
Therefore, the area of the square is greater than the area of the rectangle that is 3600.
Note: Whenever we face such types of questions, the key concept is that we have to first calculate the perimeter of the square then the perimeter of the rectangle. First, we calculate the perimeter of the square like we did in the question. With the help of the perimeter of the square we will calculate the breadth of the rectangle by applying the formula$2\left( {l + b} \right)$. Second step is to calculate the area of the rectangle and area of square and to check whether the fig a has the larger area or the fig b has the larger area. After applying the formula we get our required answer , like in the above question the area of the square is greater than the area of the rectangle.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)