The breadth of a rectangle is 5 less than its length. If the perimeter is 30 metre, find the length and breadth of the rectangle.
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Answers
Answer:
let,the length of the rectangle be x And Breadth x-5. A/Q ,2(x+x-5) =30m 2(2x-5)=30. 2x-5 =30/2. 2x-5=15. 2x=15+5. 2x=20. x=20/2. therefore,x=10
Step-by-step explanation:
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Given :
- The breadth of a rectangle is 5 less than its length. If the perimeter is 30 metre.
To Find :
- Length of rectangle = ?
- Breadth of rectangle = ?
Solution :
- Perimeter of rectangle = 30 m
- Let Length of rectangle be 'x' and Breadth of rectangle be 'x - 5'.
★ According to Question now :-
→ Perimeter of rectangle = 2(Length + Breadth)
→ 30 = 2(x + x - 5)
→ 30 = 2(2x - 5)
→ 30 = 4x - 10
→ 30 + 10 = 4x
→ 40 = 4x
→ 4x = 40
→ x = 40 ÷ 4
→ x = 10 m
Hence,
- Length of rectangle = x = 10 m
- Breadth of rectangle = x - 5 = 10 - 5 = 5 m
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V E R I F I C A T I O N :
➻ 30 = 2(x + x - 5)
➻ 30 = 2(10 + 10 - 5)
➻ 30 = 2(10 + 5)
➻ 30 = 2(15)
➻ 30 = 30
Hence Verified !
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