Question

Ramesh to cover wire and made the rectangle from its food dimensional are 46 and he went again the same wire into the shape of squares
read it carefully and answer the following question
what is the length of wire
how much area is occupied by rectangular shape of wire
find the side of square is parameter of above rectangle and square is same
is perimeter of above rectangle and square is same ​

Answer 1

Answer:

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Mathematics

Science

Chapters in NCERT Solutions - Mathematics, Class 7

Exercises in Perimeter and Area

Question 9

Q6) A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also, find which shape encloses more area?

Solution

Transcript

Solution:

Length= 40cm

Breadth= 22cm

Perimeter of the rectangle= Length of the wire

=2(l+b)= 2(40cm + 22cm)

=2\times622×62cm = 124cm

Now, the wire is rebent into a square.

Perimeter= 124cm

4\times side=1244×side=124

Therefore side= \frac{124}{4}

4

124

cm= 31cm

So, the measure of each side= 31cm

Area of rectangular shape= l\times bl×b

=40cm\times22cm40cm×22cm

=880cm^2880cm

2

Area of a square shape= \left(Side\right)^2(Side)

2

=\left(31\right)^2=961cm^2(31)

2

=961cm

2

Since 961cm^2\ >\ 880cm^2961cm

2

> 880cm

2

Hence, the square encloses more area.

Step-by-step explanation:

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