Question

the length of a rectangle is twice it's width. if the perimeter of the rectangle is same as the perimeter of a square of side 6 , what is length of a diagonal of the rectangle?​

Answer 1

Answer:

One of the diagonal's length is approximately 8.94427191 units.

Step-by-step explanation:

l = 2b (and) p = 24

p = 2(l+b)

= p = 2(2b + b)

= 24 = 2(3b)

= 24 = 6b

= b = 4 (and) l = 8

Using the pythagoreas theorem,

$4^{2} +8^{2} = c^{2}$

= $16 + 64 = c^{2}$

= $80 = c^{2}$

= $\sqrt{80} =c$

One of the diagonal's length is approximately 8.94427191 units.