Question

it
P
= 45000 tiles
240
5. An ant is moving around a few food pieces of
different shapes scattered on the floor. For which
food-piece would the ant have to take a longer
round ? Remember, circumference of a circle can
be obtained by using the expression c= 2tr, where
is the radius of the circle.
T
1
28 on
28
2 om​

Answer 1

$\setlength{\unitlength}{2cm} \begin{picture}(4,2) \put(0,0){\line(1,0){1}} \put(1,0){\line(0,1){1}} \put(0,0){\line(0,1){1}} \put(0,1){\line(3,0){1}}\end{picture}$

$\setlength{\unitlength}{3cm}\begin{picture}(4,2)\put(0,0){\line(1,0){1}}\put(3,0){\line(0,2){1}}\put(0,0){\line(2,1){1}}\put(0,1){\line(3,0){1}}\end{picture}$

Answer 2

$\pink{(a) \: perimeter \: of \: figure = \frac{2\pi \: r}{2r} = r(\pi + 2) }$

$\pink{ \frac{2.8}{2}(\pi + 2) = 7.19cm }$

$\purple{(b) \: perimeter = 1.5 + 1.5 + 2.8 + \pi( \frac{2.8}{2} ) = 10.19}$

$\orange{(c) \: perimeter = \pi( \frac{2.8}{2}) + 2 + 2 = 8.39 }$

clearly, for food $\red{B}$ the ant has to go more.