Question

find the length of a rectangle having breadth 3cm.Whose perimeter is equal to the perimeter of a square of length 4cm.What is the direct answer?
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Answer 1

Answer:

7 cm

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Answer 2

Answer:

• The length of the rectangle = 5 cm

Explanation:

Using formula,

• Perimeter of square = 4 × a

where,

• a denotes the side of the square

we have,

• side of the square (a) = 4 cm

Substituting the given values :

⇒ Perimeter of square = 4 × 4

⇒ Perimeter of square = 16

The perimeter of square = 16 cm

Perimeter of square = Perimeter of rectangle [Given in the question]

Perimeter of rectangle = 16 cm

Using formula,

• Perimeter of rectangle = 2(l + b)

where,

• l denotes the length of the rectangle

• b denotes the breadth of the rectangle

we have,

• length (l) = ?

• breadth (b) = 3 cm

• Perimeter = 16 cm

Substituting the given values :

⇒ 16 = 2(length + 3)

⇒ 16/2 = length + 3

⇒ 8 = length + 3

⇒ 8 - 3 = length

⇒ 5 = length

Therefore,

• The length of the rectangle = 5 cm