Question

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​

Answer 1

Answer:38?

Step-by-step explanation:

Answer 2

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.

#answerwithquality

#BAL