if the perimeter of the rectangle is 450 cm and the sides are in the ratio 4: 5, find the length of the rectangle?
1️⃣ 125 cm
2️⃣ 100 cm
3️⃣ 150 cm
4️⃣ 152 cm
Answers
Answered by
3
Perimeter= 450 {2(l+b)}
Ratio = 4:5
Let length be 5x and breadth be 4x
•2(l+b) = 450
•2(5x+4x) = 450
•2*9x = 450
•18x = 450
•x = 450/18
•x = 25
So,length = 5x
=5*25
=125cm
Ratio = 4:5
Let length be 5x and breadth be 4x
•2(l+b) = 450
•2(5x+4x) = 450
•2*9x = 450
•18x = 450
•x = 450/18
•x = 25
So,length = 5x
=5*25
=125cm
Answered by
42
Answer:
- 125 cm
Step-by-step explanation:
Given
- Perimeter of the rectangle = 450 cm
- Ratio of sides of the rectangle = 4 : 5
To find
- Length of the rectangle.
Solution
↪ Perimeter of rectangle = 2(Length + Breadth)
↪ Let the length be 5x and breadth be 4x.
- 450 = 2(5x + 4x)
- 450 = 2(9x)
- 450 = 18x
- x = 450/18
- x = 25
Hence, the sides are,
- Length (5x) = 125 cm
- Breadth (4x) = 100 cm
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