Question

The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 60 cm and the breadth of the rectangle is 3 cm then find the length of the rectangle ?​

Answer 1

Answer:

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Step-by-step explanation:

perimeter of square=2(perimeter of rectangle)

60=2(2(l+3)

60=2(2l+6)

60=4l+12

60-12=4l

4l=48

l=48/4

l=12

Answer 2

Solution

Given :-

• The perimeter of the square is 60 cm
• Breadth of rectangle = 3 cm
• The perimeter of a square is twice the perimeter of a rectangle.

Find :-

• Length of rectangle.

Step - Step - Explanation

Using Formula,

$\small{\boxed{\boxed{\tt{\red{\:Perimeter_{square}\:=\:4\times\:side}}}}}$

$\small{\boxed{\boxed{\tt{\red{\:Perimeter_{rectangle}\:=\:2\times\:(Length\:+\:Breadth)}}}}}$

So,

➡ perimeter of square = 4 × side

[ The perimeter of the square is 60 cm ]

So,

➡ 60 = 4 × side

➡side = 60/4

➡side = 15 cm.

Since, Side of square be = 15 cm.

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Now, A/C to question,

(The perimeter of a square is twice the perimeter of a rectangle.)

➡ The perimeter of a square = 2 × [ perimeter of a rectangle]

➡ 60 = 2 × 2 [ Length + Breadth ]

➡ 60/4 = ( Length + 3)

➡Length + 3 = 15

➡Length = 15 - 3

➡Length = 12 cm

Hence

• Length of rectangle be = 12 cm

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