Question

13 The perimeter of a rectangle is 40
cm. The length of the rectangle ismore
than double its breadth by 2. Find
length and breadth.
O
14 and 6
O 14 and 12
O 14 and 11
O 14 and 18​

Answer 1

Answer:

perimeter = 2(l+b) = 40

let breadth be x so the length is 2x+2

40= 2(2x+2+x)

40/2 = 3x+2

3x = 20-2

x = 6

so length = 2(6) +2

= 14

breadth = 6

option a)

Answer 2

Required Answer:-

Since it is given that:

The length of the rectangle is more than double its breadth by 2. It is clear that the length is more than the breadth.

So,

• Let the breadth be x.
• Then length will be 2x + 2

Now,

We know the Formula for finding the perimeter of a rectangle. That is, P = 2(l + b) where l and b are the length and breadth respectively.

And perimeter given is 40 cm. Plugging these values:

➛ 2(2x + 2 + x) = 40 cm

➛ 2(3x + 2) = 40 cm

➛ 3x + 2 = 20 cm

➛ 3x = 18 cm

➛ x = 6 cm

Then, Length = 2(6) + 2 = 14 cm$.$

Therefore:

The length and the breadth of the rectangle are 14 cm and 6 cm respectively. Hence, The correct option is Option A.