Question

*The perimeter of a rectangle is 40 cm. The length of the rectangle is less than double its breadth by 1 cm. Find the length and breadth.*

1️⃣ Length = 17 cm and Breadth = 8 cm
2️⃣ Length = 13 cm and Breadth = 7 cm
3️⃣ Length = 14 cm and Breadth = 6 cm
4️⃣ Length = 15 and Breadth = 8 cm​

Answer 1

Answer:

Perimeter of rectangle =40 cm (given)

condition :- length = 2× breadth +2

⇒l=2b+2

perimeter p=2(l+b)=40

⇒2(2b+2+b)=40

⇒2(3b+2)=40

⇒6b=40−4=36

∴b=6cm

l=2×6+2=12+2=14cm

∴ length =14 cm, breadth =6 cm

Step-by-step explanation:

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Answer 2

perimeter of a rectangle is 40 cm.

length of the rectangle is less than double its breadth by 1 cm.

Let b = x

l = 2x-1

perimeter of a rectangle = 40 cm

=> 2(l+b) = 40 cm

=> 2 ( 2x - 1 + x) = 40 cm

=> 2 (3x - 1) = 40 cm

=> 6x - 2 = 40 cm

=> 6x = 40 + 2

=> x = 42/6

=> x = 7 cm

b = 7 cm

l = 2×7-1 = 13 cm

Answer : 2️⃣ Length = 13 cm , Breadth = 7 cm

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