Question

. A wire is in the shape of square of side 10 cm. If it is rebent in the shape of rectangle of length 12 cm, find its breadth ​

Answer 1

Answer:

• The breadth of rectangle is 8 cm.

Step-by-step explanation:

As we know that,

• Area of square = (Side)²
• Perimeter of square = 4 × Side
• Perimeter of rectangle = 2(l + b)

Given that,

• Side of square = 10 cm
• Length of rectangle = l = 12 cm

To Find:

• Breadth of rectangle(b) = x cm

Let's do it,

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→ Area of square = (Side)²

→ Area of square = (10)²

→ Area of square = 10 × 10

→ Area of square = 100 cm²

→ Length of wire = 4 × length of square

→ Length of wire = 4 × 10 = 40 cm

❍Let us consider that length of wire as perimeter of rectangle

→ Perimeter of rectangle = 2(l + b)

→ 40 = 2(12 + x)

→ 40 = 24 + 2x

→ 40 - 24 = 2x

→ 16 = 2x

→ x = 16/2

→ x = 8 cm

• Therefore,The breadth of rectangle is 8 cm.

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