Question

The distance between two consecutive nails in the inner and outer square frames is 1.35cm. Alice used 20 equidistant nails around the bigger frame. What is the difference in the perimeter of the outer frame and the inner frarne? (Figures are not drawn to scale.)​

Answer 1

Answer:

10.8 centimetres is the answer

Answer 2

Given:

distance between two consecutive nails in the inner and outer square frames is 1.35cmAlice used 20 equidistant nails around the bigger frame

Find perimeter of the outer frame and the inner frame = ?

• First calculate for the perimeter of outer frame

       (20 - 1) × 1.35

       =19 × 1.35

       =25.65

• Calculate for the perimeter of inner frame

        $(\frac{25.65}{4} -2\times1.35)\times4$

        each side of inner frame is 1.35 × 2=2.7

      =  $(\frac{25.65}{4}-2.7 )\times4$

      = $(\frac{25.65-10.8}{4} )\times4$

       = 25.65 - 10.8

       =14.85

25.65 - 14.85 =10.8

Hence the difference in the perimeter of the outer frame and the inner frame is 10.8