Question

a wire is in the shape of rectangle . its length is 40 cm and its breadth is 22 cm. if the same wire is rebent in the shape of a square and then into a circle, find the side of the square and the radius of the circle​

Answer 1

The perimeter of rectangle =2×length+2×breath=2×40+2×22=

80+44

124cm

The area of sq=(124)2

=15376

Answer 2

$\huge\mathfrak{\underline{Correct\:Question:}}$

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.

_____________________________

Given that

• A wire is in the shape of rectangle.

• Length = 40cm , Breadth = 22cm.

• Wire is bent into shape of square and then into circle.

To find

• The side of the square.

• Radius of the square.

Answer:-

$\bold{STEP-BY-STEP-EXPLANATION}$

[Perimeter of the square is same as perimeter of rectangle.]

From the question it is given that,

Perimeter of the rectangle = Perimeter of the Square

2 (Length + Breadth) = 4 × side

2 (40 + 22) = 4 × side

2 (62) = 4 × side

124 = 4 × side

Side = 124/4

Side = 31 cm

So, Area of the rectangle = $\boxed{(Length × Breadth)}$

= 40 × 22

= 880 cm^2

Area of square = $\boxed{side × side}$

= 312

= 31 × 31

= 961 cm^2

∴ Square shaped wire encloses more area.

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