Find the perimeter of the following figures (not drawn to scale ) and select the correct option .

Options

A. Perimeter of [(i)+(ii)]= Perimeter of [(ii)+(iii)]
B. Perimeter of [(i)+(ii)]=Perimeter of (iii)
C. Perimeter of [(i)+(iii)]` gt ` perimeter of (ii)
D. None of these

Answer

C

Explanation

Perimeter of (i) = `24 xx5 = 120` cm
Perimeter of (ii) = `36 xx 4 = 144` cm
Perimeter of (iii) = `42 xx 3 = 126` cm
Now , perimeter of [(i)+(ii)] = `120 + 144 = 264` cm
Perimeter of `[(ii)+(iii)] = 144 + 126 = 270 cm != 264` cm
Perimeter of `[(i) +(iii)] = 120 + 126 = 246 ` cm
And , `246 cm gt 144` cm i.e., perimeter of (ii)