Question

*Perimeter of a rectangle is 34 cm. Choose the correct option to express given statement in mathematical form.(Length = a and Breadth = b)*

1️⃣ a + b = 34
2️⃣ 2a + 2b = 64
3️⃣ 2a - 2b = 34
4️⃣ a + b = 17​

Answer 1

The perimeter of a rectangle is 34 cm. The correct option to express the given statement in mathematical form is a + b = 17 (Option d)

• The Perimeter of a rectangle is the sum of all its four sides.
• It is a four-sided figure in which two opposite sides are length and the other two are termed breadth.
• The formula of perimeter of rectangle, P = 2 (length + breadth)
• It is given that perimeter = 34.
• So, 34 = 2( a + b)

   ⇒ 17 = a + b

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Perimeter of a rectangle is 34 cm. Choose the correct option to express given statement in mathematical form.(Length = a and Breadth = b)

1. a + b = 34

2. 2a + 2b = 64

3. 2a - 2b = 34

4. a + b = 17

FORMULA TO BE IMPLEMENTED

If length and breadth of a rectangle is given then Perimeter of the rectangle is given by

Perimeter = 2 ( Length + Breadth )

EVALUATION

Here Length = a cm and Breadth = b cm

Perimeter

= 2 ( Length + Breadth )

= 2(a + b )

Now it is given that Perimeter of the rectangle is 34 cm

So by the given condition

$\sf{2(a + b) = 34}$

Dividing both sides by 2 we get

$\sf{ \implies \: (a + b) = 17}$

Which is the required statement in mathematical form

FINAL ANSWER

Hence the correct option is

$\sf{4. \: \: \: \: \: a + b= 17}$

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