Question

the length of the rectangle is 3cm more than its breadth its perimetre is 34 cm what is the ​

Answer 1

answer in attachment........

Answer 2

Complete Question :

• The length of the rectangle is 3cm more than its breadth its perimetre is 34 cm what is the Length and Breadth of rectangle.

To Find :

• Length of rectangle = ?
• Breadth of rectangle = ?

Solution :

Let Breadth be 'x'. Then, the Length will be 'x + 3'

• Perimeter of rectangle = 34 cm

★ Finding Length and Breadth of rectangle :

→ Perimeter of rectangle = 2(Length + Breadth)

→ 34 = 2(x + 3 + x)

→ 34 = 2(2x + 3)

→ 34 ÷ 2 = 2x + 3

→ 17 = 2x + 3

→ 17 - 3 = 2x

→ 14 = 2x

→ x = 14 ÷ 2

→ x = 7 cm

• Hence,the Breadth of rectangle is 7 cm.

★ Finding Length of rectangle :

→ Length of rectangle = x + 3

→ Length of rectangle = 7 + 3

→ Length of rectangle = 10 cm

• Hence, the Length of rectangle is 10 cm.

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★ Verification :

→ 34 = 2(x + 3 + x)

→ 34 = 2(2x + 3)

→ 34 = 2(2(7) + 3)

→ 34 = 2(14 + 3)

→ 34 = 2(17)

→ 34 = 34

LHS = RHS

Hence Verified !

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