Question

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

Answer 1

Answer:

Step-by-step explanation:

A wire is in the shape of a rectangle. Its length is 40cm & breadth is 22cm. If the same wire is rebent in the shape of square.

The measure of each side & also which shape enclose more area.

According to the question;

Length of the wire will be the same.

Let the side of square be R.

Now,

_________________________________

Rectangle :

Square :

Thus,

Answer 2

Step-by-step explanation:

According to the question,

Perimeter of square=Perimeter of rectangle

=4*sides=2[length+breadth]

=4*sides=2[40+22]

= 4*sides=2*62

= sides= 2*62= 31 cm

4

Thus, the side of the square is 31 cm.

Now, Area of rectangle= length*breadth= 40*22=880 cm square.

And Area of square= side*side = 31*31=

961 cm square.

Therefore, on comparing, the area of square is greater than that of rectangle.

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