Question

a square is formed a 10 cm long wire. if with the same a rectangle of length is 12 cm is formed. what is the breath of the rectangle​

Answer 1

Given:-

• Perimeter of Square = 10 cm

• Length of rectangle formed = 12 cm

To Find:-

• Breadth of rectangle

Formula used:-

• Perimeter of Square = 4 × Side

• Perimeter of Rectangle = 2(l + b)

Solution:-

According to question,

Perimeter of Square = Perimeter of Rectangle

${⟹ \:4 × Side = 2(l + b)}$

${⟹ \:4 × 10 = 2(12 + b)}$

${⟹ \:40 = 24 + 2b}$

${⟹ \:2b = 40 - 24}$

${⟹\: 2b = 16}$

${\boxed{\red{⟹ \:b = 8\: cm}}}$

Hence, the breadth of new rectangle formed is 8 cm.

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Answer 2

Answer:

The breadth of rectangle is 8cm.

Step-by-step explanation:

s=10cm

l= 12cm

as the wire with same length is used,

perimeter of square = perimeter of rectangle

4s = 2(l + b)

2s = l+b

2*10 = 12 + b

20=12 + b

b = 8cm