Question

perimeter of square is 4 x + 20 find its diagonal​

Answer 1

Answer:

The diagonal is √2 x + 25√2 + 4√5

Step-by-step explanation:

P = 4x + 20 = 4 (x + 5)

P = 4 x s

Therefore,

4s = 4 (x + 5)

s = x + 5

By Pythagoras Theorem

(d)^2 = (s)^2 + (s)^2                         (write any two adj. sides and the diagonal)

d^2 = (x + 5)^2 + (x + 5)^2

d^2 = 2 x (x^2 + 25 + 10x)

d = √(2x^2 + 50 + 20x)

d = √2 x + 25√2 + 4√5

Therefore, the diagonal is √2 x + 25√2 + 4√5

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