Question

10) The distance between two consecutive nails in the inner and outer squareframes 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 frame?next day/s(Figures are not drawn to scale.)​

Answer 1

Answer:

10.8 centimetres is the answer.

Answer 2

Given:

distance between two inner and outer square frames = 1.35cm

used 20 equidistant nails around the bigger frame

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

So for outer frame

• The perimeter of outer frame

        (20 - 1) × 1.35

       =19 × 1.35

       =25.65

• The perimeter of inner frame

    each side of inner frame is 1.35 × 2=2.7 , less than each side of outer frame

     $(\frac{25.65}{4} - 1.35 \times2)\times4\\\\=(\frac{25.65}{4}-2.7 ) \times4\\\\=(\frac{25.65-2.7\times4}{4} )\times4\\\\=\frac{25.65-10.8}{4}\times4 \\\\=25.65-10.8\\\\=14.85$

25.65 - 14.85

=10.8

Hence the answer is 10.8