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 also find which shape enclauses more area​

Answer 1

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Answer 2

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▪Given that :-

• Length of the rectangle = 40 cm

•  Breadth of the rectangle = 22 cm

▪To Find :-

• Measure of Side.

• Shape encloses more area.

______________________________

Perimeter of rectangle = 2 (L + B)

Perimeter of square  = 4 × Side

Area of rectangle = Length × Breadth

Area of square = side × side

Let length of square is x

A.T.Q

Perimeter of rectangle = Perimeter of square

⇒ 2×(Length + Breadth) = 4 × x

⇒ 2 (40 + 22) = 4 × x

 ⇒ 2 × 62 = 4 × x

⇒  124 = 4 × x

 ⇒ x = 124/4

⇒ x = 31 cm

Area of rectangle =   40 × 22

Area of rectangle  = 880 cm²

Area of square = side × side

Area of square  = 31 × 31

Area of square   = 961 cm²

Hence, the measure of each side is 31 cm.

Hence, square shaped wire encloses more area

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