The ratio between the length and the breadth of a rectangle is 2:1 . If breadth is 5 less than the length, what will be the perimeter of the rectangle?
Answers
Answered by
1
Step-by-step explanation:
Let length = 2x and breadth = x
According to the question,
2x - x = 5 => x = 5
Therefore, Required perimeter = 2(2x+x)=2×3x
=2×3×5 = 30 cm
Answered by
3
- The perimeter of the rectangle = 30 cm.
Given :
- The ratio between the length and the breadth of a rectangle = 2 : 1.
- The breadth is 5 less than the length.
To Find :
- The perimeter of the rectangle.
Solution :
First, we have to find the length and the breadth of the rectangle.
Let,
The length of the rectangle be 2x.
The breadth of the rectangle be 1x.
According to the question,
→ 2x – 5 = x
→ 2x – x = 5
→ x = 5 cm
So, the sides of the rectangle are :
• The length of the rectangle = 2x = 2 × 5 cm = 10 cm.
• The breadth of the recatngle = 1x = 1 × 5 cm = 5 cm.
Now, we have to find the perimeter of the rectangle.
We know that,
Perimeter of the rectangle = 2 ( l + b )
Where,
- l = length = 10 cm.
- b = breadth = 5 cm.
→ 2 ( 10 cm + 5 cm )
→ 2 ( 15 cm )
→ 2 × 15 cm
→ 30 cm
Hence,
The perimeter of the rectangle is 30 cm.
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