Question

a wire is in the shape of a rectangle . its length is 40cm and breadth is 22 cm . if the same wire is rebent in the shape of a square and then into a circle , find: ( i ) the side of the square (ii) the radius of the circle.
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Answer 1

Answer:

961 sq cm.

Step-by-step explanation:

We first have to find the total length of the wire. For this, we have to find the perimeter of the rectangle.

Length of the rectangle is 40 cm and the breadth is 22 cm. The formula for perimeter of rectangle is 2(length + breadth). So the perimeter is:

2(40 + 22) cm = 2 × 62 cm = 124 cm.

Thus the length of the wire is 124 cm. Since the same wire is bent into square, therefore the perimeter of the square is 124 cm. Perimeter of the square is given by:

4 × side = 124

= side = 124/4 = 31

Thus the side of the square is 31 cm.

Area of the rectangle = (40 × 22) = 880 sq cm.

Area of the square = (31 × 31) = 961 sq cm.

Thus the square encloses more area.