Question

A rope is long enough to cover a square-shaped column-of side 35 cm 140 times around its perimeter. The same rope will be used to cover a square-shaped column of side 70 cm. How many rounds will it make around the perimeter of the square-shaped column?​

Answer 1

Answer:

70 rounds

Step-by-step explanation:

given square 1 with side , a = 35cm

                          => perimeter1 = 4a units

                                                  = 4*35 cm

                                                  = 140 cm

the rope is covered, 140 times around square1

=> length of rope = 140* perimeter1

                             = 140 * 140 cm

                             = 19600 cm

also, given square2 with side, b = 70cm

=> perimeter2 = 4*b units

                        = 4*70 cm

                         = 280 cm

=> rounds made to cover the square2 with the rope will be,

         = $\frac{length of the rope}{perimeter2}$

         = $\frac{19600}{280}$

         = $\frac{1960}{28}$

         = 70 rounds