Find the perimeter of a rectangle whose length is 5 cm and diagonal is 12
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★ Solution :-
Given ,
- Length = 5cm
- Diagonal = 12cm
We need to find ,
- Perimeter of rectangle = ?
To find , the perimeter of rectangle , firstly we need to find the breadth of rectangle .
As we know that,
Diagonal = √length² + breadth²
Substituting ,
- Diagonal = 12cm
- Length = 5cm
→ 12 = √5² + breadth²
→ 12² = 5² + breath²
→ 144 = 25 + breath²
→ 144 - 25 = Breadth²
→ 119 = Breadth²
→ Breadth = 10.98 ≈ 11 cm
Now , finding perimeter
As w know that,
Perimeter of rectangle = 2 ( l + b)
→ Perimeter = 2(11 + 5)
→ Perimeter = 2(16)
→ Perimeter = 32
Hence , perimeter of rectangle is approximately equal to 32 cm
Answered by
0
Answer:
32m
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