Math, asked by sejalkale, 1 year ago

the perimeter of a rectangle is 40 cm. the length of the rectangle is more than double its breadth by 2. find the length and breadth.

Answers

Answered by rekhaahlawat624

221

2(l+b)=40
l-2b=2
So l=2b +2 ..........(1)
So 2(2b+2+b)=40
2(3b+2)=40
3b+2=20
So b=6cm
And length l =14cm (from (1))
Hope it helps u dood..

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Answered by mysticd

124

Answer:

Length = 14 cm,

Breadth (b) = 6 cm

Step-by-step explanation:

Dimensions of the rectangle:

Let breadth = b cm

Length (l) = 2b+2 [given]

Now ,

Perimeter (P) = 40 cm

/* given*/

2(l+b)=40

=> 2(2b+2+b) = 40

=> 2(3b+2)=40

Divide both sides by 2, we get

=> 3b+2 = 20

=> 3b = 20-2

=> 3b = 18

Divide each term by 3, we get

=> b = 6

Therefore,

Breadth (b) = 6 cm

Length (l) = 2b+2

= 2×6+2

= 12+2

= 14 cm

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