Question

A wire is in a shape of a rectangle . Its length is 36 cm and the breath is 18 cm . if the same wire is rebent in the shape of a square , what will be the measure each side ? Also find which shape encloses more area.

Answer 1

answer

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.

Answer 2

Answer:

perimeter of the rectangle = length of the wire

Perimeter = 2(l+b)

2(36+18)

2×54 = 108cm

each side of the square will be equal so ...

108÷4 = 27cm

Measure of each side of square= 27cm

square will enclose more area