Question

The length of the diagonal of a square is 50cm . Find the perimeter of the square

Answer 1

Answer:

141.2 is answer

Step-by-step explanation:

Answer 2

Answer:

≈ 120.7 cm

Step-by-step explanation:

given the diagonal of the square = 50cm

which is the hypotenuse side if taken the triangle part cut on the diagonal

let x be the side of the square

=> $\sqrt{x^{2}+x^{2} }$ = 50 = $\sqrt{50^{2} }$

=> 2x² = 2500

=> x² = 2500/2 = 1250

=> x = √1250 = √(25*25*2) = 25√2

=> the perimeter of the square = 25√2 + 25√2 + 50 cm

                                                    = 50√2+50 cm

                                                    = 50(√2+1) cm

                                                    ≈ 50(1.414+1) cm

                                                    ≈ 50(2.414) cm

                                                    ≈ 120.7 cm