Question

A wire is in the shape of a rectangle. It's length is 36 cm and breadth is 32 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?



☠️(No Spamming please)☠️



(Class-11th)​

Answer 1

Answer:

According to the question,

Perimeter of square=Perimeter of rectangle

⇒4× side=2(length+breadth)

⇒4×side=2(40+22)

⇒4×side=2×62

⇒ side=

4

2×62

=31cm

Thus, the side of the square is 31cm.

Now, Area of rectangle=length×breadth=40×22=880cm

2

And Area of square=side×side=31×31=961cm

2

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

hope it will help

Answer 2

Perimeter= 2(36+32)

=136cm

Perimeter of rect=perimeter of square

side of square=136/4

=34cm

Now, area of rect=32*36

=1152cm²

Area of square=34²

=1156cm²

thus the square encloses more area

hope this helps

cheerio ✌️✌️