the perimeter of a rectangle is 62 centimetre. if its length is 24 centimetre, the length of each of its diagonal is
1. 7cm
2. 25 cm
3.31cm
4.38 cm
which option is correct
Answers
Answered by
0
Answer:38?
Step-by-step explanation:
Answered by
3
Answer:
- 2nd option is correct.
Step-by-step explanation:
Given:
- Perimeter of rectangle = 62 cm
- Length of rectangle = 24 cm
To Find:
- Length of each diagonal
We know that,
⇒ Diagonal (d) =√(l)² + (b)²
But for this first we have to find breadth of the rectangle. So,
⇒ Perimeter of rectangle = 2(l + b)
⇒ 62 = 2(24 + b)
⇒ 62 = 48 + 2b
⇒ 62 - 48 = 2b
⇒ 14 = 2b
⇒ b = 14/2
⇒ b = 7 cm
Now, put the value in the formula to find length of diagonal
⇒ Diagonal (d) =√(l)² + (b)²
⇒ Diagonal (d) = √(24)² + (7)²
⇒ Diagonal (d) = √576 + 49
⇒ Diagonal (d) = √625
⇒ Diagonal (d) = 25 cm.
Hence, 2nd option is correct.
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